961505973 has 12 divisors (see below), whose sum is σ = 1411610668. Its totient is φ = 630495360.

The previous prime is 961505971. The next prime is 961505981. The reversal of 961505973 is 379505169.

961505973 is a `hidden beast` number, since 9 + 6 + 1 + 50 + 597 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 313396209 + 648109764 = 17703^2 + 25458^2 .

It is not a de Polignac number, because 961505973 - 2¹ = 961505971 is a prime.

It is a super-2 number, since 2×961505973² = 1848987472229353458, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961505971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875140 + ... + 876237.

Almost surely, 2^961505973 is an apocalyptic number.

It is an amenable number.

961505973 is a deficient number, since it is larger than the sum of its proper divisors (450104695).

961505973 is a wasteful number, since it uses less digits than its factorization.

961505973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751444 (or 1751441 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 961505973 is about 31008.1597809351. The cubic root of 961505973 is about 987.0004003411. Note that the first 3 decimals are identical.

The spelling of 961505973 in words is "nine hundred sixty-one million, five hundred five thousand, nine hundred seventy-three".