82953972 has 36 divisors (see below), whose sum is σ = 210633696. Its totient is φ = 27526800.

The previous prime is 82953967. The next prime is 82953977. The reversal of 82953972 is 27935928.

It is an interprime number because it is at equal distance from previous prime (82953967) and next prime (82953977).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×82953972² = 13762722941153568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82953977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3097 + ... + 13247.

It is an arithmetic number, because the mean of its divisors is an integer number (5850936).

Almost surely, 2^82953972 is an apocalyptic number.

It is an amenable number.

82953972 is an abundant number, since it is smaller than the sum of its proper divisors (127679724).

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

82953972 is a wasteful number, since it uses less digits than its factorization.

82953972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10383 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 82953972 is about 9107.9071141509. The cubic root of 82953972 is about 436.1264187462.

The spelling of 82953972 in words is "eighty-two million, nine hundred fifty-three thousand, nine hundred seventy-two".