97832520 has 96 divisors (see below), whose sum is σ = 334713600. Its totient is φ = 24713856.

The previous prime is 97832513. The next prime is 97832531. The reversal of 97832520 is 2523879.

It is a happy number.

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

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, 312 + ... + 13991.

It is an arithmetic number, because the mean of its divisors is an integer number (3486600).

Almost surely, 2^97832520 is an apocalyptic number.

97832520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97832520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167356800).

97832520 is an abundant number, since it is smaller than the sum of its proper divisors (236881080).

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

97832520 is a wasteful number, since it uses less digits than its factorization.

97832520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14339 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97832520 is about 9891.0323020401. The cubic root of 97832520 is about 460.7808413982.

The spelling of 97832520 in words is "ninety-seven million, eight hundred thirty-two thousand, five hundred twenty".