61646625 has 48 divisors (see below), whose sum is σ = 114208848. Its totient is φ = 31968000.

The previous prime is 61646603. The next prime is 61646653. The reversal of 61646625 is 52664616.

It is a happy number.

61646625 is a `hidden beast` number, since 6 + 1 + 646 + 6 + 2 + 5 = 666.

61646625 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 8 ways, for example, as 9979281 + 51667344 = 3159^2 + 7188^2 .

It is not a de Polignac number, because 61646625 - 2⁵ = 61646593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61646625.

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 47 ways as a sum of consecutive naturals, for example, 40885 + ... + 42365.

It is an arithmetic number, because the mean of its divisors is an integer number (2379351).

Almost surely, 2^61646625 is an apocalyptic number.

It is an amenable number.

61646625 is a deficient number, since it is larger than the sum of its proper divisors (52562223).

61646625 is a wasteful number, since it uses less digits than its factorization.

61646625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1526 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 61646625 is about 7851.5364738375. The cubic root of 61646625 is about 395.0357816221.

Subtracting from 61646625 its reverse (52664616), we obtain a square (8982009 = 2997²).

The spelling of 61646625 in words is "sixty-one million, six hundred forty-six thousand, six hundred twenty-five".