82031520 has 48 divisors (see below), whose sum is σ = 258400800. Its totient is φ = 21874944.

The previous prime is 82031507. The next prime is 82031527. The reversal of 82031520 is 2513028.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (82031527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84970 + ... + 85929.

It is an arithmetic number, because the mean of its divisors is an integer number (5383350).

Almost surely, 2^82031520 is an apocalyptic number.

82031520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82031520 is an abundant number, since it is smaller than the sum of its proper divisors (176369280).

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

82031520 is a wasteful number, since it uses less digits than its factorization.

82031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170917 (or 170909 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82031520 is about 9057.1253717722. The cubic root of 82031520 is about 434.5038073225.

Adding to 82031520 its reverse (2513028), we get a palindrome (84544548).

The spelling of 82031520 in words is "eighty-two million, thirty-one thousand, five hundred twenty".