82364513 has 16 divisors (see below), whose sum is σ = 104102016. Its totient is φ = 63296640.

The previous prime is 82364501. The next prime is 82364521. The reversal of 82364513 is 31546328.

It is not a de Polignac number, because 82364513 - 2¹⁶ = 82298977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82364513.

It is not an unprimeable number, because it can be changed into a prime (82364573) 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 15 ways as a sum of consecutive naturals, for example, 1706 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (6506376).

Almost surely, 2^82364513 is an apocalyptic number.

It is an amenable number.

82364513 is a deficient number, since it is larger than the sum of its proper divisors (21737503).

82364513 is a wasteful number, since it uses less digits than its factorization.

82364513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744.

The product of its digits is 17280, while the sum is 32.

The square root of 82364513 is about 9075.4896837581. The cubic root of 82364513 is about 435.0909450048.

The spelling of 82364513 in words is "eighty-two million, three hundred sixty-four thousand, five hundred thirteen".