97080 has 32 divisors (see below), whose sum is σ = 291600. Its totient is φ = 25856.

The previous prime is 97073. The next prime is 97081. The reversal of 97080 is 8079.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 97080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 524.

2⁹⁷⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

97080 is an abundant number, since it is smaller than the sum of its proper divisors (194520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145800).

97080 is a wasteful number, since it uses less digits than its factorization.

97080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 97080 is about 311.5766358378. The cubic root of 97080 is about 45.9596369312.

The spelling of 97080 in words is "ninety-seven thousand, eighty".