65642625 has 96 divisors (see below), whose sum is σ = 129467520. Its totient is φ = 31881600.

The previous prime is 65642623. The next prime is 65642641. The reversal of 65642625 is 52624656.

65642625 is a `hidden beast` number, since 6 + 5 + 642 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 65642625 - 2¹ = 65642623 is a prime.

Its product of digits (86400) is a multiple of the sum of its prime factors (160).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65642625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65642623) 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 95 ways as a sum of consecutive naturals, for example, 790834 + ... + 790916.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620).

Almost surely, 2^65642625 is an apocalyptic number.

It is an amenable number.

65642625 is a deficient number, since it is larger than the sum of its proper divisors (63824895).

65642625 is a wasteful number, since it uses less digits than its factorization.

65642625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65642625 is about 8102.0136385963. The cubic root of 65642625 is about 403.3932683436.

The spelling of 65642625 in words is "sixty-five million, six hundred forty-two thousand, six hundred twenty-five".