97092864 has 144 divisors (see below), whose sum is σ = 313467840. Its totient is φ = 29399040.

The previous prime is 97092851. The next prime is 97092883. The reversal of 97092864 is 46829079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75394 + ... + 76670.

It is an arithmetic number, because the mean of its divisors is an integer number (2176860).

Almost surely, 2^97092864 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 97092864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156733920).

97092864 is an abundant number, since it is smaller than the sum of its proper divisors (216374976).

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

97092864 is a wasteful number, since it uses less digits than its factorization.

97092864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97092864 is about 9853.5711292911. The cubic root of 97092864 is about 459.6166686754.

The spelling of 97092864 in words is "ninety-seven million, ninety-two thousand, eight hundred sixty-four".