82356313 has 8 divisors (see below), whose sum is σ = 93908808. Its totient is φ = 71549184.

The previous prime is 82356311. The next prime is 82356319. The reversal of 82356313 is 31365328.

It can be written as a sum of positive squares in 4 ways, for example, as 2647129 + 79709184 = 1627^2 + 8928^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 82356313 - 2¹ = 82356311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82356311) 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, 186106 + ... + 186547.

It is an arithmetic number, because the mean of its divisors is an integer number (11738601).

Almost surely, 2^82356313 is an apocalyptic number.

It is an amenable number.

82356313 is a deficient number, since it is larger than the sum of its proper divisors (11552495).

82356313 is a wasteful number, since it uses less digits than its factorization.

82356313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372683.

The product of its digits is 12960, while the sum is 31.

The square root of 82356313 is about 9075.0379062569. The cubic root of 82356313 is about 435.0765056788.

The spelling of 82356313 in words is "eighty-two million, three hundred fifty-six thousand, three hundred thirteen".