32250 has 32 divisors (see below), whose sum is σ = 82368. Its totient is φ = 8400.

The previous prime is 32237. The next prime is 32251. The reversal of 32250 is 5223.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (32251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

2³²²⁵⁰ is an apocalyptic number.

32250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184).

32250 is an abundant number, since it is smaller than the sum of its proper divisors (50118).

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

32250 is a wasteful number, since it uses less digits than its factorization.

32250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 32250 is about 179.5828499607. The cubic root of 32250 is about 31.8304838021.

Adding to 32250 its reverse (5223), we get a palindrome (37473).

It can be divided in two parts, 32 and 250, that multiplied together give a cube (8000 = 20³).

The spelling of 32250 in words is "thirty-two thousand, two hundred fifty".