9957605905 has 16 divisors (see below), whose sum is σ = 12944448720. Its totient is φ = 7353300864.

The previous prime is 9957605887. The next prime is 9957605923. The reversal of 9957605905 is 5095067599.

It is an interprime number because it is at equal distance from previous prime (9957605887) and next prime (9957605923).

It can be written as a sum of positive squares in 8 ways, for example, as 3844868049 + 6112737856 = 62007^2 + 78184^2 .

It is not a de Polignac number, because 9957605905 - 2⁵ = 9957605873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442252 + ... + 464221.

It is an arithmetic number, because the mean of its divisors is an integer number (809028045).

Almost surely, 2^9957605905 is an apocalyptic number.

It is an amenable number.

9957605905 is a deficient number, since it is larger than the sum of its proper divisors (2986842815).

9957605905 is an equidigital number, since it uses as much as digits as its factorization.

9957605905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906517 (or 906491 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 55.

The square root of 9957605905 is about 99787.8043901157. The cubic root of 9957605905 is about 2151.3858672643.

The spelling of 9957605905 in words is "nine billion, nine hundred fifty-seven million, six hundred five thousand, nine hundred five".