332100 has 90 divisors (see below), whose sum is σ = 1102794. Its totient is φ = 86400.

The previous prime is 332099. The next prime is 332113. The reversal of 332100 is 1233.

It is a happy number.

332100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 331776 = 18^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×332100² = 220580820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 9 and base 10.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332100.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8080 + ... + 8120.

2³³²¹⁰⁰ is an apocalyptic number.

332100 is a gapful number since it is divisible by the number (30) 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 332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551397).

332100 is an abundant number, since it is smaller than the sum of its proper divisors (770694).

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

332100 is a wasteful number, since it uses less digits than its factorization.

332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 332100 is about 576.2811813690. The cubic root of 332100 is about 69.2505071926.

Adding to 332100 its reverse (1233), we get a palindrome (333333).

The spelling of 332100 in words is "three hundred thirty-two thousand, one hundred".