65745 has 16 divisors (see below), whose sum is σ = 117120. Its totient is φ = 34992.

The previous prime is 65731. The next prime is 65761. The reversal of 65745 is 54756.

65745 is a `hidden beast` number, since 657 + 4 + 5 = 666.

It is not a de Polignac number, because 65745 - 2⁴ = 65729 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

65745 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2⁶⁵⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

65745 is a deficient number, since it is larger than the sum of its proper divisors (51375).

65745 is a wasteful number, since it uses less digits than its factorization.

65745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 65745 is about 256.4078781941. The cubic root of 65745 is about 40.3602867597.

The spelling of 65745 in words is "sixty-five thousand, seven hundred forty-five".