32890225 has 27 divisors (see below), whose sum is σ = 43311681. Its totient is φ = 24775200.

The previous prime is 32890213. The next prime is 32890229. The reversal of 32890225 is 52209823.

The square root of 32890225 is 5735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3122289 + 29767936 = 1767^2 + 5456^2 .

It is not a de Polignac number, because 32890225 - 2⁷ = 32890097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (32890229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 888907 + ... + 888943.

Almost surely, 2^32890225 is an apocalyptic number.

32890225 is the 5735-th square number.

32890225 is the 2868-th centered octagonal number.

It is an amenable number.

32890225 is a deficient number, since it is larger than the sum of its proper divisors (10421456).

32890225 is an equidigital number, since it uses as much as digits as its factorization.

32890225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 32890225 is about 320.3973741773.

The spelling of 32890225 in words is "thirty-two million, eight hundred ninety thousand, two hundred twenty-five".