3000957961 has 9 divisors (see below), whose sum is σ = 3109653781. Its totient is φ = 2895942784.

The previous prime is 3000957941. The next prime is 3000957979. The reversal of 3000957961 is 1697590003.

The square root of 3000957961 is 54781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 109561 + 3000848400 = 331^2 + 54780^2 .

It is not a de Polignac number, because 3000957961 - 2¹⁷ = 3000826889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3000957931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1587705 + ... + 1589593.

Almost surely, 2^3000957961 is an apocalyptic number.

3000957961 is the 54781-st square number.

3000957961 is the 27391-st centered octagonal number.

It is an amenable number.

3000957961 is a deficient number, since it is larger than the sum of its proper divisors (108695820).

3000957961 is an frugal number, since it uses more digits than its factorization.

3000957961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 40.

The cubic root of 3000957961 is about 1442.4030671749.

The spelling of 3000957961 in words is "three billion, nine hundred fifty-seven thousand, nine hundred sixty-one".