82913 has 2 divisors, whose sum is σ = 82914. Its totient is φ = 82912.

The previous prime is 82903. The next prime is 82939. The reversal of 82913 is 31928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 21904 = 247^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 82913 - 2⁸ = 82657 is a prime.

It is not a weakly prime, because it can be changed into another prime (82903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41456 + 41457.

It is an arithmetic number, because the mean of its divisors is an integer number (41457).

2⁸²⁹¹³ is an apocalyptic number.

It is an amenable number.

82913 is a deficient number, since it is larger than the sum of its proper divisors (1).

82913 is an equidigital number, since it uses as much as digits as its factorization.

82913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 23.

The square root of 82913 is about 287.9461755259. The cubic root of 82913 is about 43.6054604165.

The spelling of 82913 in words is "eighty-two thousand, nine hundred thirteen".