97121136 has 160 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 26041344.

The previous prime is 97121033. The next prime is 97121137. The reversal of 97121136 is 63112179.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97121137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279715 + ... + 280061.

It is an arithmetic number, because the mean of its divisors is an integer number (1941840).

Almost surely, 2^97121136 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 97121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

97121136 is an abundant number, since it is smaller than the sum of its proper divisors (213573264).

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

97121136 is a wasteful number, since it uses less digits than its factorization.

97121136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 97121136 is about 9855.0056316574. The cubic root of 97121136 is about 459.6612755286.

The spelling of 97121136 in words is "ninety-seven million, one hundred twenty-one thousand, one hundred thirty-six".