82973160 has 80 divisors (see below), whose sum is σ = 278892900. Its totient is φ = 22125312.

The previous prime is 82973159. The next prime is 82973161. The reversal of 82973160 is 6137928.

It is an interprime number because it is at equal distance from previous prime (82973159) and next prime (82973161).

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 7387524 = 8694^2 + 2718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82973161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9565 + ... + 16044.

Almost surely, 2^82973160 is an apocalyptic number.

It is an amenable number.

82973160 is an abundant number, since it is smaller than the sum of its proper divisors (195919740).

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

82973160 is a wasteful number, since it uses less digits than its factorization.

82973160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25632 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82973160 is about 9108.9604236707. The cubic root of 82973160 is about 436.1600428085.

The spelling of 82973160 in words is "eighty-two million, nine hundred seventy-three thousand, one hundred sixty".