32832900 has 81 divisors (see below), whose sum is σ = 103454533. Its totient is φ = 8709600.

The previous prime is 32832889. The next prime is 32832907. The reversal of 32832900 is 923823.

The square root of 32832900 is 5730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11819844 + 21013056 = 3438^2 + 4584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32832907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171805 + ... + 171995.

Almost surely, 2^32832900 is an apocalyptic number.

32832900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32832900 is the 5730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32832900

32832900 is an abundant number, since it is smaller than the sum of its proper divisors (70621633).

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

32832900 is a wasteful number, since it uses less digits than its factorization.

32832900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 32832900 is about 320.2111236989.

The spelling of 32832900 in words is "thirty-two million, eight hundred thirty-two thousand, nine hundred".