83000164 has 24 divisors (see below), whose sum is σ = 156696120. Its totient is φ = 38241024.

The previous prime is 83000149. The next prime is 83000179. The reversal of 83000164 is 46100038.

It is an interprime number because it is at equal distance from previous prime (83000149) and next prime (83000179).

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 77440000 = 2358^2 + 8800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41082 + ... + 43054.

It is an arithmetic number, because the mean of its divisors is an integer number (6529005).

Almost surely, 2^83000164 is an apocalyptic number.

It is an amenable number.

83000164 is a deficient number, since it is larger than the sum of its proper divisors (73695956).

83000164 is a wasteful number, since it uses less digits than its factorization.

83000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 83000164 is about 9110.4425798092. The cubic root of 83000164 is about 436.2073544463.

The spelling of 83000164 in words is "eighty-three million, one hundred sixty-four", and thus it is an aban number.