82117632 has 44 divisors (see below), whose sum is σ = 218881616. Its totient is φ = 27371520.

The previous prime is 82117621. The next prime is 82117643. The reversal of 82117632 is 23671128.

It is an interprime number because it is at equal distance from previous prime (82117621) and next prime (82117643).

It is a self number, because there is not a number n which added to its sum of digits gives 82117632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10294 + ... + 16437.

Almost surely, 2^82117632 is an apocalyptic number.

It is an amenable number.

82117632 is an abundant number, since it is smaller than the sum of its proper divisors (136763984).

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

82117632 is a wasteful number, since it uses less digits than its factorization.

82117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26736 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 82117632 is about 9061.8779510651. The cubic root of 82117632 is about 434.6557932384.

The spelling of 82117632 in words is "eighty-two million, one hundred seventeen thousand, six hundred thirty-two".