65938625 has 32 divisors (see below), whose sum is σ = 86430240. Its totient is φ = 50169600.

The previous prime is 65938601. The next prime is 65938627. The reversal of 65938625 is 52683956.

It is a happy number.

65938625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 41692849 + 24245776 = 6457^2 + 4924^2 .

It is not a de Polignac number, because 65938625 - 2¹⁰ = 65937601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65938627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 244991 + ... + 245259.

It is an arithmetic number, because the mean of its divisors is an integer number (2700945).

Almost surely, 2^65938625 is an apocalyptic number.

It is an amenable number.

65938625 is a deficient number, since it is larger than the sum of its proper divisors (20491615).

65938625 is a wasteful number, since it uses less digits than its factorization.

65938625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 65938625 is about 8120.2601559310. The cubic root of 65938625 is about 403.9986949767.

The spelling of 65938625 in words is "sixty-five million, nine hundred thirty-eight thousand, six hundred twenty-five".