1579097961 has 36 divisors (see below), whose sum is σ = 2792977200. Its totient is φ = 854845488.

The previous prime is 1579097957. The next prime is 1579097969. The reversal of 1579097961 is 1697909751.

It is a happy number.

1579097961 is a `hidden beast` number, since 1 + 579 + 0 + 9 + 7 + 9 + 61 = 666.

It is not a de Polignac number, because 1579097961 - 2² = 1579097957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1579097898 and 1579097907.

It is not an unprimeable number, because it can be changed into a prime (1579097969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85851 + ... + 102608.

It is an arithmetic number, because the mean of its divisors is an integer number (77582700).

Almost surely, 2^1579097961 is an apocalyptic number.

It is an amenable number.

1579097961 is a deficient number, since it is larger than the sum of its proper divisors (1213879239).

1579097961 is a wasteful number, since it uses less digits than its factorization.

1579097961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188498 (or 188488 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The square root of 1579097961 is about 39737.8655818352. The cubic root of 1579097961 is about 1164.4915932025.

The spelling of 1579097961 in words is "one billion, five hundred seventy-nine million, ninety-seven thousand, nine hundred sixty-one".