83125824 has 56 divisors (see below), whose sum is σ = 220614240. Its totient is φ = 27623424.

The previous prime is 83125813. The next prime is 83125831. The reversal of 83125824 is 42852138.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 107712 + ... + 108480.

It is an arithmetic number, because the mean of its divisors is an integer number (3939540).

Almost surely, 2^83125824 is an apocalyptic number.

It is an amenable number.

83125824 is an abundant number, since it is smaller than the sum of its proper divisors (137488416).

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

83125824 is a wasteful number, since it uses less digits than its factorization.

83125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1337 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 83125824 is about 9117.3364531534. The cubic root of 83125824 is about 436.4273788196.

The spelling of 83125824 in words is "eighty-three million, one hundred twenty-five thousand, eight hundred twenty-four".