83015972 has 48 divisors (see below), whose sum is σ = 161855232. Its totient is φ = 37013760.

The previous prime is 83015971. The next prime is 83016001. The reversal of 83015972 is 27951038.

It is not an unprimeable number, because it can be changed into a prime (83015971) by changing a digit.

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, 306197 + ... + 306467.

It is an arithmetic number, because the mean of its divisors is an integer number (3371984).

Almost surely, 2^83015972 is an apocalyptic number.

It is an amenable number.

83015972 is a deficient number, since it is larger than the sum of its proper divisors (78839260).

83015972 is a wasteful number, since it uses less digits than its factorization.

83015972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 83015972 is about 9111.3101143579. The cubic root of 83015972 is about 436.2350456693.

The spelling of 83015972 in words is "eighty-three million, fifteen thousand, nine hundred seventy-two".