97960 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 37440.

The previous prime is 97943. The next prime is 97961. The reversal of 97960 is 6979.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97961) by changing a digit.

97960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1201 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁹⁷⁹⁶⁰ 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 97960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

97960 is an abundant number, since it is smaller than the sum of its proper divisors (132440).

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

97960 is a wasteful number, since it uses less digits than its factorization.

97960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 97960 is about 312.9856226730. The cubic root of 97960 is about 46.0980893645.

97960 divided by its sum of digits (31) gives a triangular number (3160 = T₇₉).

The spelling of 97960 in words is "ninety-seven thousand, nine hundred sixty".