82431972 has 48 divisors (see below), whose sum is σ = 244245120. Its totient is φ = 23551776.

The previous prime is 82431919. The next prime is 82431991. The reversal of 82431972 is 27913428.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 53763 + ... + 55274.

It is an arithmetic number, because the mean of its divisors is an integer number (5088440).

Almost surely, 2^82431972 is an apocalyptic number.

It is an amenable number.

82431972 is an abundant number, since it is smaller than the sum of its proper divisors (161813148).

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

82431972 is a wasteful number, since it uses less digits than its factorization.

82431972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109057 (or 109049 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82431972 is about 9079.2054718461. The cubic root of 82431972 is about 435.2096967567.

The spelling of 82431972 in words is "eighty-two million, four hundred thirty-one thousand, nine hundred seventy-two".