97693344 has 192 divisors, whose sum is σ = 337478400. Its totient is φ = 26901504.

The previous prime is 97693333. The next prime is 97693399. The reversal of 97693344 is 44339679.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97693344.

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 31 ways as a sum of consecutive naturals, for example, 175114 + ... + 175670.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^97693344 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 97693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

97693344 is an abundant number, since it is smaller than the sum of its proper divisors (239785056).

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

97693344 is a wasteful number, since it uses less digits than its factorization.

97693344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 97693344 is about 9883.9943342760. The cubic root of 97693344 is about 460.5622362807.

The spelling of 97693344 in words is "ninety-seven million, six hundred ninety-three thousand, three hundred forty-four".