97166900 has 72 divisors (see below), whose sum is σ = 227157336. Its totient is φ = 35942400.

The previous prime is 97166899. The next prime is 97166933. The reversal of 97166900 is 966179.

It can be written as a sum of positive squares in 12 ways, for example, as 65739664 + 31427236 = 8108^2 + 5606^2 .

It is a super-2 number, since 2×97166900² = 18882812911220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103232 + ... + 104168.

It is an arithmetic number, because the mean of its divisors is an integer number (3154963).

Almost surely, 2^97166900 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 97166900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113578668).

97166900 is an abundant number, since it is smaller than the sum of its proper divisors (129990436).

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

97166900 is a wasteful number, since it uses less digits than its factorization.

97166900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 97166900 is about 9857.3272239487. The cubic root of 97166900 is about 459.7334624774.

The spelling of 97166900 in words is "ninety-seven million, one hundred sixty-six thousand, nine hundred".