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80313 = 3191409
BaseRepresentation
bin10011100110111001
311002011120
4103212321
510032223
61415453
7453102
oct234671
9132146
1080313
1155382
123a589
132a72c
14213a9
1518be3
hex139b9

80313 has 8 divisors (see below), whose sum is σ = 112800. Its totient is φ = 50688.

The previous prime is 80309. The next prime is 80317. The reversal of 80313 is 31308.

It is an interprime number because it is at equal distance from previous prime (80309) and next prime (80317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 80313 - 22 = 80309 is a prime.

It is a Curzon number.

80313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 80292 and 80301.

It is not an unprimeable number, because it can be changed into a prime (80317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (14100).

280313 is an apocalyptic number.

It is an amenable number.

80313 is a deficient number, since it is larger than the sum of its proper divisors (32487).

80313 is a wasteful number, since it uses less digits than its factorization.

80313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 80313 is about 283.3954833797. The cubic root of 80313 is about 43.1448155103.

It can be divided in two parts, 80 and 313, that added together give a palindrome (393).

The spelling of 80313 in words is "eighty thousand, three hundred thirteen".

Divisors: 1 3 19 57 1409 4227 26771 80313