82979500 has 48 divisors (see below), whose sum is σ = 184006368. Its totient is φ = 32683200.

The previous prime is 82979497. The next prime is 82979513. The reversal of 82979500 is 597928.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32262 + ... + 34738.

It is an arithmetic number, because the mean of its divisors is an integer number (3833466).

Almost surely, 2^82979500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82979500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92003184).

82979500 is an abundant number, since it is smaller than the sum of its proper divisors (101026868).

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

82979500 is a wasteful number, since it uses less digits than its factorization.

82979500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 82979500 is about 9109.3084260003. The cubic root of 82979500 is about 436.1711515584.

The spelling of 82979500 in words is "eighty-two million, nine hundred seventy-nine thousand, five hundred".