65961625 has 16 divisors (see below), whose sum is σ = 82646928. Its totient is φ = 52560000.

The previous prime is 65961617. The next prime is 65961629. The reversal of 65961625 is 52616956.

It can be written as a sum of positive squares in 8 ways, for example, as 17338896 + 48622729 = 4164^2 + 6973^2 .

It is not a de Polignac number, because 65961625 - 2³ = 65961617 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65961629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35725 + ... + 37525.

It is an arithmetic number, because the mean of its divisors is an integer number (5165433).

Almost surely, 2^65961625 is an apocalyptic number.

It is an amenable number.

65961625 is a deficient number, since it is larger than the sum of its proper divisors (16685303).

65961625 is a wasteful number, since it uses less digits than its factorization.

65961625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2099 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The square root of 65961625 is about 8121.6762432394. The cubic root of 65961625 is about 404.0456623387.

The spelling of 65961625 in words is "sixty-five million, nine hundred sixty-one thousand, six hundred twenty-five".