32500 has 30 divisors (see below), whose sum is σ = 76538. Its totient is φ = 12000.

The previous prime is 32497. The next prime is 32503. The reversal of 32500 is 523.

It is an interprime number because it is at equal distance from previous prime (32497) and next prime (32503).

It can be written as a sum of positive squares in 5 ways, for example, as 19044 + 13456 = 138^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2494 + ... + 2506.

2³²⁵⁰⁰ 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 32500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38269).

32500 is an abundant number, since it is smaller than the sum of its proper divisors (44038).

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

32500 is a wasteful number, since it uses less digits than its factorization.

32500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 32500 is about 180.2775637732. The cubic root of 32500 is about 31.9125214943.

The spelling of 32500 in words is "thirty-two thousand, five hundred".