97666900 has 18 divisors (see below), whose sum is σ = 211937390. Its totient is φ = 39066720.

The previous prime is 97666837. The next prime is 97666903. The reversal of 97666900 is 966679.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30492484 + 67174416 = 5522^2 + 8196^2 .

It is a super-2 number, since 2×97666900² = 19077646711220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97666903) 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 5 ways as a sum of consecutive naturals, for example, 488235 + ... + 488434.

Almost surely, 2^97666900 is an apocalyptic number.

It is an amenable number.

97666900 is an abundant number, since it is smaller than the sum of its proper divisors (114270490).

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

97666900 is a wasteful number, since it uses less digits than its factorization.

97666900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976683 (or 976676 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 97666900 is about 9882.6565254490. The cubic root of 97666900 is about 460.5206769607.

It can be divided in two parts, 976 and 66900, that added together give a palindrome (67876).

The spelling of 97666900 in words is "ninety-seven million, six hundred sixty-six thousand, nine hundred".