97266208 has 48 divisors (see below), whose sum is σ = 209658456. Its totient is φ = 44144640.

The previous prime is 97266199. The next prime is 97266217. The reversal of 97266208 is 80266279.

It is an interprime number because it is at equal distance from previous prime (97266199) and next prime (97266217).

It can be written as a sum of positive squares in 4 ways, for example, as 24880144 + 72386064 = 4988^2 + 8508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23460 + ... + 27292.

Almost surely, 2^97266208 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 97266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104829228).

97266208 is an abundant number, since it is smaller than the sum of its proper divisors (112392248).

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

97266208 is a wasteful number, since it uses less digits than its factorization.

97266208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 97266208 is about 9862.3632056419. The cubic root of 97266208 is about 459.8900304231.

The spelling of 97266208 in words is "ninety-seven million, two hundred sixty-six thousand, two hundred eight".