97892424 has 96 divisors (see below), whose sum is σ = 310115520. Its totient is φ = 27312768.

The previous prime is 97892413. The next prime is 97892437. The reversal of 97892424 is 42429879.

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 97892424.

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 23 ways as a sum of consecutive naturals, for example, 19414 + ... + 23930.

It is an arithmetic number, because the mean of its divisors is an integer number (3230370).

Almost surely, 2^97892424 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 97892424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155057760).

97892424 is an abundant number, since it is smaller than the sum of its proper divisors (212223096).

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

97892424 is a wasteful number, since it uses less digits than its factorization.

97892424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4572 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 97892424 is about 9894.0600362035. The cubic root of 97892424 is about 460.8748693814.

The spelling of 97892424 in words is "ninety-seven million, eight hundred ninety-two thousand, four hundred twenty-four".