61585905 has 16 divisors (see below), whose sum is σ = 100154304. Its totient is φ = 32306880.

The previous prime is 61585891. The next prime is 61585957. The reversal of 61585905 is 50958516.

It is not a de Polignac number, because 61585905 - 2⁴ = 61585889 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32739 + ... + 34568.

It is an arithmetic number, because the mean of its divisors is an integer number (6259644).

Almost surely, 2^61585905 is an apocalyptic number.

It is an amenable number.

61585905 is a deficient number, since it is larger than the sum of its proper divisors (38568399).

61585905 is a wasteful number, since it uses less digits than its factorization.

61585905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67376.

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 61585905 is about 7847.6687621229. The cubic root of 61585905 is about 394.9060397138.

The spelling of 61585905 in words is "sixty-one million, five hundred eighty-five thousand, nine hundred five".