97410432 has 192 divisors, whose sum is σ = 312560640. Its totient is φ = 26772480.

The previous prime is 97410431. The next prime is 97410457. The reversal of 97410432 is 23401479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97410432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97410431) 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 23 ways as a sum of consecutive naturals, for example, 583213 + ... + 583379.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^97410432 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 97410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

97410432 is an abundant number, since it is smaller than the sum of its proper divisors (215150208).

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

97410432 is a wasteful number, since it uses less digits than its factorization.

97410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 97410432 is about 9869.6723349866. The cubic root of 97410432 is about 460.1172228033.

The spelling of 97410432 in words is "ninety-seven million, four hundred ten thousand, four hundred thirty-two".