97413264 has 120 divisors (see below), whose sum is σ = 310964472. Its totient is φ = 28200960.

The previous prime is 97413263. The next prime is 97413301. The reversal of 97413264 is 46231479.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 63680400 = 5808^2 + 7980^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97413263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30294 + ... + 33354.

Almost surely, 2^97413264 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 97413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155482236).

97413264 is an abundant number, since it is smaller than the sum of its proper divisors (213551208).

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

97413264 is a wasteful number, since it uses less digits than its factorization.

97413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3096 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 97413264 is about 9869.8158037524. The cubic root of 97413264 is about 460.1216817349.

The spelling of 97413264 in words is "ninety-seven million, four hundred thirteen thousand, two hundred sixty-four".