83820975 has 96 divisors (see below), whose sum is σ = 167608320. Its totient is φ = 36167040.

The previous prime is 83820959. The next prime is 83820977. The reversal of 83820975 is 57902838.

It is not a de Polignac number, because 83820975 - 2⁴ = 83820959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83820977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1060986 + ... + 1061064.

It is an arithmetic number, because the mean of its divisors is an integer number (1745920).

Almost surely, 2^83820975 is an apocalyptic number.

83820975 is a deficient number, since it is larger than the sum of its proper divisors (83787345).

83820975 is a wasteful number, since it uses less digits than its factorization.

83820975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 83820975 is about 9155.3795661349. The cubic root of 83820975 is about 437.6405643571.

The spelling of 83820975 in words is "eighty-three million, eight hundred twenty thousand, nine hundred seventy-five".