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65214 = 2323623
BaseRepresentation
bin1111111010111110
310022110100
433322332
54041324
61221530
7361062
oct177276
9108410
1065214
1144aa6
12318a6
13238b6
1419aa2
15144c9
hexfebe

65214 has 12 divisors (see below), whose sum is σ = 141336. Its totient is φ = 21732.

The previous prime is 65213. The next prime is 65239. The reversal of 65214 is 41256.

It is a happy number.

65214 is a `hidden beast` number, since 652 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3623 = 65214 / (6 + 5 + 2 + 1 + 4).

It is a d-powerful number, because it can be written as 66 + 53 + 211 + 1 + 47 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65214.

It is not an unprimeable number, because it can be changed into a prime (65213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1794 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (11778).

265214 is an apocalyptic number.

65214 is an abundant number, since it is smaller than the sum of its proper divisors (76122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65214 is a wasteful number, since it uses less digits than its factorization.

65214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3628 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 65214 is about 255.3703193404. The cubic root of 65214 is about 40.2513341378.

It can be divided in two parts, 652 and 14, that added together give a palindrome (666).

The spelling of 65214 in words is "sixty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 3623 7246 10869 21738 32607 65214