97621344 has 144 divisors (see below), whose sum is σ = 298142208. Its totient is φ = 30191616.

The previous prime is 97621339. The next prime is 97621351. The reversal of 97621344 is 44312679.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 97621299 and 97621308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621714 + ... + 621870.

It is an arithmetic number, because the mean of its divisors is an integer number (2070432).

Almost surely, 2^97621344 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 97621344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149071104).

97621344 is an abundant number, since it is smaller than the sum of its proper divisors (200520864).

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

97621344 is a wasteful number, since it uses less digits than its factorization.

97621344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

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

The square root of 97621344 is about 9880.3514107546. The cubic root of 97621344 is about 460.4490636754.

The spelling of 97621344 in words is "ninety-seven million, six hundred twenty-one thousand, three hundred forty-four".