97137880 has 144 divisors (see below), whose sum is σ = 272399760. Its totient is φ = 30533760.

The previous prime is 97137829. The next prime is 97137883. The reversal of 97137880 is 8873179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97137883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3133465 + ... + 3133495.

It is an arithmetic number, because the mean of its divisors is an integer number (1891665).

Almost surely, 2^97137880 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 97137880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136199880).

97137880 is an abundant number, since it is smaller than the sum of its proper divisors (175261880).

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

97137880 is a wasteful number, since it uses less digits than its factorization.

97137880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 97137880 is about 9855.8551125714. The cubic root of 97137880 is about 459.6876897108.

The spelling of 97137880 in words is "ninety-seven million, one hundred thirty-seven thousand, eight hundred eighty".