32385125 has 12 divisors (see below), whose sum is σ = 40496196. Its totient is φ = 25857200.

The previous prime is 32385113. The next prime is 32385131. The reversal of 32385125 is 52158323.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2256004 + 30129121 = 1502^2 + 5489^2 .

It is not a de Polignac number, because 32385125 - 2⁴ = 32385109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63371 + ... + 63879.

It is an arithmetic number, because the mean of its divisors is an integer number (3374683).

Almost surely, 2^32385125 is an apocalyptic number.

It is an amenable number.

32385125 is a deficient number, since it is larger than the sum of its proper divisors (8111071).

32385125 is an frugal number, since it uses more digits than its factorization.

32385125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 514 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 32385125 is about 5690.7930027370. The cubic root of 32385125 is about 318.7487761071.

The spelling of 32385125 in words is "thirty-two million, three hundred eighty-five thousand, one hundred twenty-five".