97837120 has 28 divisors (see below), whose sum is σ = 232975404. Its totient is φ = 39134720.

The previous prime is 97837081. The next prime is 97837123. The reversal of 97837120 is 2173879.

It can be written as a sum of positive squares in 2 ways, for example, as 12902464 + 84934656 = 3592^2 + 9216^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97837120.

It is not an unprimeable number, because it can be changed into a prime (97837123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152551 + ... + 153190.

Almost surely, 2^97837120 is an apocalyptic number.

It is an amenable number.

97837120 is an abundant number, since it is smaller than the sum of its proper divisors (135138284).

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

97837120 is a wasteful number, since it uses less digits than its factorization.

97837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305758 (or 305748 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 97837120 is about 9891.2648331748. The cubic root of 97837120 is about 460.7880631231.

The spelling of 97837120 in words is "ninety-seven million, eight hundred thirty-seven thousand, one hundred twenty".