32005125 has 80 divisors (see below), whose sum is σ = 62290800. Its totient is φ = 16329600.

The previous prime is 32005123. The next prime is 32005147. The reversal of 32005125 is 52150023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7144929 + 24860196 = 2673^2 + 4986^2 .

It is not a de Polignac number, because 32005125 - 2¹ = 32005123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32005098 and 32005107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32005123) 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 79 ways as a sum of consecutive naturals, for example, 293571 + ... + 293679.

It is an arithmetic number, because the mean of its divisors is an integer number (778635).

Almost surely, 2^32005125 is an apocalyptic number.

It is an amenable number.

32005125 is a deficient number, since it is larger than the sum of its proper divisors (30285675).

32005125 is a wasteful number, since it uses less digits than its factorization.

32005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 32005125 is about 5657.3072216382. The cubic root of 32005125 is about 317.4971583022.

Adding to 32005125 its reverse (52150023), we get a palindrome (84155148).

The spelling of 32005125 in words is "thirty-two million, five thousand, one hundred twenty-five".