97140 has 24 divisors (see below), whose sum is σ = 272160. Its totient is φ = 25888.

The previous prime is 97127. The next prime is 97151. The reversal of 97140 is 4179.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

97140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 750 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁹⁷¹⁴⁰ is an apocalyptic number.

It is an amenable number.

97140 is an abundant number, since it is smaller than the sum of its proper divisors (175020).

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 (136080).

97140 is a wasteful number, since it uses less digits than its factorization.

97140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 97140 is about 311.6729054634. The cubic root of 97140 is about 45.9691033860.

The spelling of 97140 in words is "ninety-seven thousand, one hundred forty".