82311572 has 108 divisors (see below), whose sum is σ = 190179360. Its totient is φ = 30935520.

The previous prime is 82311571. The next prime is 82311653. The reversal of 82311572 is 27511328.

It is a super-2 number, since 2×82311572² = 13550389770222368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82311571) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2655197 + ... + 2655227.

It is an arithmetic number, because the mean of its divisors is an integer number (1760920).

Almost surely, 2^82311572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82311572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089680).

82311572 is an abundant number, since it is smaller than the sum of its proper divisors (107867788).

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

82311572 is a wasteful number, since it uses less digits than its factorization.

82311572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 82311572 is about 9072.5725127992. The cubic root of 82311572 is about 434.9977046605.

The spelling of 82311572 in words is "eighty-two million, three hundred eleven thousand, five hundred seventy-two".