97817664 has 112 divisors (see below), whose sum is σ = 300134528. Its totient is φ = 27537408.

The previous prime is 97817653. The next prime is 97817683. The reversal of 97817664 is 46671879.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 97614 + ... + 98610.

Almost surely, 2^97817664 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 97817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150067264).

97817664 is an abundant number, since it is smaller than the sum of its proper divisors (202316864).

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

97817664 is a wasteful number, since it uses less digits than its factorization.

97817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 97817664 is about 9890.2812902364. The cubic root of 97817664 is about 460.7575168203.

The spelling of 97817664 in words is "ninety-seven million, eight hundred seventeen thousand, six hundred sixty-four".