32900 has 36 divisors (see below), whose sum is σ = 83328. Its totient is φ = 11040.

The previous prime is 32887. The next prime is 32909. The reversal of 32900 is 923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (32909) by changing a digit.

32900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677 + ... + 723.

2³²⁹⁰⁰ 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 32900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

32900 is an abundant number, since it is smaller than the sum of its proper divisors (50428).

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

32900 is a wasteful number, since it uses less digits than its factorization.

32900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 32900 is about 181.3835714722. The cubic root of 32900 is about 32.0429111815.

The spelling of 32900 in words is "thirty-two thousand, nine hundred".