97632 has 48 divisors (see below), whose sum is σ = 287280. Its totient is φ = 32256.

The previous prime is 97613. The next prime is 97649. The reversal of 97632 is 23679.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97596 and 97605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁹⁷⁶³² 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 97632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

97632 is an abundant number, since it is smaller than the sum of its proper divisors (189648).

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

97632 is a wasteful number, since it uses less digits than its factorization.

97632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 97632 is about 312.4611975910. The cubic root of 97632 is about 46.0465816729.

It can be divided in two parts, 97 and 632, that added together give a 6-th power (729 = 3⁶).

The spelling of 97632 in words is "ninety-seven thousand, six hundred thirty-two".