82713972 has 24 divisors (see below), whose sum is σ = 210544992. Its totient is φ = 25064800.

The previous prime is 82713949. The next prime is 82713977. The reversal of 82713972 is 27931728.

It is a self number, because there is not a number n which added to its sum of digits gives 82713972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82713977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313179 + ... + 313442.

It is an arithmetic number, because the mean of its divisors is an integer number (8772708).

Almost surely, 2^82713972 is an apocalyptic number.

It is an amenable number.

82713972 is an abundant number, since it is smaller than the sum of its proper divisors (127831020).

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

82713972 is a wasteful number, since it uses less digits than its factorization.

82713972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626639 (or 626637 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 82713972 is about 9094.7222057631. The cubic root of 82713972 is about 435.7054164177.

The spelling of 82713972 in words is "eighty-two million, seven hundred thirteen thousand, nine hundred seventy-two".