82953984 has 36 divisors (see below), whose sum is σ = 220780616. Its totient is φ = 27651072.

The previous prime is 82953979. The next prime is 82953989. The reversal of 82953984 is 48935928.

It is an interprime number because it is at equal distance from previous prime (82953979) and next prime (82953989).

It is a super-2 number, since 2×82953984² = 13762726922944512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82953989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53239 + ... + 54774.

Almost surely, 2^82953984 is an apocalyptic number.

It is an amenable number.

82953984 is an abundant number, since it is smaller than the sum of its proper divisors (137826632).

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

82953984 is a wasteful number, since it uses less digits than its factorization.

82953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108032 (or 108018 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 82953984 is about 9107.9077729191. The cubic root of 82953984 is about 436.1264397760.

The spelling of 82953984 in words is "eighty-two million, nine hundred fifty-three thousand, nine hundred eighty-four".