961434049 has 9 divisors (see below), whose sum is σ = 974220771. Its totient is φ = 948814200.

The previous prime is 961434043. The next prime is 961434053. The reversal of 961434049 is 940434169.

The square root of 961434049 is 31007.

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

It can be written as a sum of positive squares in only one way, i.e., 923734449 + 37699600 = 30393^2 + 6140^2 .

It is not a de Polignac number, because 961434049 - 2³ = 961434041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961434041) 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, 3131554 + ... + 3131860.

Almost surely, 2^961434049 is an apocalyptic number.

961434049 is the 31007-th square number.

961434049 is the 15504-th centered octagonal number.

It is an amenable number.

961434049 is a deficient number, since it is larger than the sum of its proper divisors (12786722).

961434049 is an frugal number, since it uses more digits than its factorization.

961434049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 961434049 is about 986.9757893700.

The spelling of 961434049 in words is "nine hundred sixty-one million, four hundred thirty-four thousand, forty-nine".