961775958 has 144 divisors (see below), whose sum is σ = 2389915584. Its totient is φ = 255752640.

The previous prime is 961775921. The next prime is 961775977. The reversal of 961775958 is 859577169.

961775958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 961775898 and 961775907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5900385 + ... + 5900547.

It is an arithmetic number, because the mean of its divisors is an integer number (16596636).

Almost surely, 2^961775958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961775958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194957792).

961775958 is an abundant number, since it is smaller than the sum of its proper divisors (1428139626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961775958 is a wasteful number, since it uses less digits than its factorization.

961775958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 57.

The square root of 961775958 is about 31012.5129262367. The cubic root of 961775958 is about 987.0927729222.

The spelling of 961775958 in words is "nine hundred sixty-one million, seven hundred seventy-five thousand, nine hundred fifty-eight".