82313520 has 80 divisors (see below), whose sum is σ = 259031040. Its totient is φ = 21618432.

The previous prime is 82313509. The next prime is 82313549. The reversal of 82313520 is 2531328.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13521 + ... + 18639.

It is an arithmetic number, because the mean of its divisors is an integer number (3237888).

Almost surely, 2^82313520 is an apocalyptic number.

82313520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515520).

82313520 is an abundant number, since it is smaller than the sum of its proper divisors (176717520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82313520 is a wasteful number, since it uses less digits than its factorization.

82313520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 82313520 is about 9072.6798687047. The cubic root of 82313520 is about 435.0011362105.

Adding to 82313520 its reverse (2531328), we get a palindrome (84844848).

The spelling of 82313520 in words is "eighty-two million, three hundred thirteen thousand, five hundred twenty".