97180 has 24 divisors (see below), whose sum is σ = 210672. Its totient is φ = 37632.

The previous prime is 97177. The next prime is 97187. The reversal of 97180 is 8179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2⁹⁷¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

97180 is an abundant number, since it is smaller than the sum of its proper divisors (113492).

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

97180 is a wasteful number, since it uses less digits than its factorization.

97180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 97180 is about 311.7370686973. The cubic root of 97180 is about 45.9754121905.

It can be divided in two parts, 9 and 7180, that multiplied together give a triangular number (64620 = T₃₅₉).

The spelling of 97180 in words is "ninety-seven thousand, one hundred eighty".