97613424 has 100 divisors (see below), whose sum is σ = 285526120. Its totient is φ = 32192640.

The previous prime is 97613377. The next prime is 97613429. The reversal of 97613424 is 42431679.

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 (97613429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140919 + ... + 141609.

Almost surely, 2^97613424 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 97613424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142763060).

97613424 is an abundant number, since it is smaller than the sum of its proper divisors (187912696).

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

97613424 is a wasteful number, since it uses less digits than its factorization.

97613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

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

The square root of 97613424 is about 9879.9506071640. The cubic root of 97613424 is about 460.4366112920.

It can be divided in two parts, 976 and 13424, that added together give a square (14400 = 120²).

The spelling of 97613424 in words is "ninety-seven million, six hundred thirteen thousand, four hundred twenty-four".