97182432 has 72 divisors (see below), whose sum is σ = 278643456. Its totient is φ = 32126976.

The previous prime is 97182413. The next prime is 97182433. The reversal of 97182432 is 23428179.

It is a tau number, because it is divible by the number of its divisors (72).

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 (97182433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35248 + ... + 37904.

It is an arithmetic number, because the mean of its divisors is an integer number (3870048).

Almost surely, 2^97182432 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 97182432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139321728).

97182432 is an abundant number, since it is smaller than the sum of its proper divisors (181461024).

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

97182432 is a wasteful number, since it uses less digits than its factorization.

97182432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2789 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 97182432 is about 9858.1150328042. The cubic root of 97182432 is about 459.7579571002.

The spelling of 97182432 in words is "ninety-seven million, one hundred eighty-two thousand, four hundred thirty-two".