395110961 has 30 divisors (see below), whose sum is σ = 477206370. Its totient is φ = 327073824.

The previous prime is 395110943. The next prime is 395111039. The reversal of 395110961 is 169011593.

It can be written as a sum of positive squares in only one way, i.e., 284124736 + 110986225 = 16856^2 + 10535^2 .

It is not a de Polignac number, because 395110961 - 2¹⁴ = 395094577 is a prime.

It is a super-2 number, since 2×395110961² = 312225343004687042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395110921) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4439405 + ... + 4439493.

It is an arithmetic number, because the mean of its divisors is an integer number (15906879).

Almost surely, 2^395110961 is an apocalyptic number.

It is an amenable number.

395110961 is a deficient number, since it is larger than the sum of its proper divisors (82095409).

395110961 is an frugal number, since it uses more digits than its factorization.

395110961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 35.

The square root of 395110961 is about 19877.3982452433. The cubic root of 395110961 is about 733.7920900644.

The spelling of 395110961 in words is "three hundred ninety-five million, one hundred ten thousand, nine hundred sixty-one".