82613 has 2 divisors, whose sum is σ = 82614. Its totient is φ = 82612.

The previous prime is 82609. The next prime is 82619. The reversal of 82613 is 31628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77284 + 5329 = 278^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 82613 - 2² = 82609 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41306 + 41307.

It is an arithmetic number, because the mean of its divisors is an integer number (41307).

2⁸²⁶¹³ is an apocalyptic number.

It is an amenable number.

82613 is a deficient number, since it is larger than the sum of its proper divisors (1).

82613 is an equidigital number, since it uses as much as digits as its factorization.

82613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 82613 is about 287.4247727667. The cubic root of 82613 is about 43.5528050329.

The spelling of 82613 in words is "eighty-two thousand, six hundred thirteen".