82355313 has 16 divisors (see below), whose sum is σ = 113600000. Its totient is φ = 53015040.

The previous prime is 82355281. The next prime is 82355321. The reversal of 82355313 is 31355328.

It is not a de Polignac number, because 82355313 - 2⁵ = 82355281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82355333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65313 + ... + 66561.

It is an arithmetic number, because the mean of its divisors is an integer number (7100000).

Almost surely, 2^82355313 is an apocalyptic number.

It is an amenable number.

82355313 is a deficient number, since it is larger than the sum of its proper divisors (31244687).

82355313 is a wasteful number, since it uses less digits than its factorization.

82355313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992.

The product of its digits is 10800, while the sum is 30.

The square root of 82355313 is about 9074.9828099011. The cubic root of 82355313 is about 435.0747447199.

The spelling of 82355313 in words is "eighty-two million, three hundred fifty-five thousand, three hundred thirteen".