97940 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 38048.

The previous prime is 97931. The next prime is 97943. The reversal of 97940 is 4979.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97943) 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, 1139 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁹⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

97940 is an abundant number, since it is smaller than the sum of its proper divisors (113740).

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 (105840).

97940 is a wasteful number, since it uses less digits than its factorization.

97940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 97940 is about 312.9536706926. The cubic root of 97940 is about 46.0949519461.

Adding to 97940 its sum of digits (29), we get a square (97969 = 313²).

The spelling of 97940 in words is "ninety-seven thousand, nine hundred forty".