82319913 has 36 divisors (see below), whose sum is σ = 135216900. Its totient is φ = 47967552.

The previous prime is 82319903. The next prime is 82319917. The reversal of 82319913 is 31991328.

It can be written as a sum of positive squares in 2 ways, for example, as 38601369 + 43718544 = 6213^2 + 6612^2 .

It is not a de Polignac number, because 82319913 - 2¹² = 82315817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82319917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41263 + ... + 43211.

It is an arithmetic number, because the mean of its divisors is an integer number (3756025).

Almost surely, 2^82319913 is an apocalyptic number.

It is an amenable number.

82319913 is a deficient number, since it is larger than the sum of its proper divisors (52896987).

82319913 is a wasteful number, since it uses less digits than its factorization.

82319913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1984 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 82319913 is about 9073.0321833442. The cubic root of 82319913 is about 435.0123975856.

It can be divided in two parts, 823 and 19913, that added together give a 4-th power (20736 = 12⁴).

The spelling of 82319913 in words is "eighty-two million, three hundred nineteen thousand, nine hundred thirteen".