961533973 has 8 divisors (see below), whose sum is σ = 964610136. Its totient is φ = 958464000.

The previous prime is 961533967. The next prime is 961533983. The reversal of 961533973 is 379335169.

It can be written as a sum of positive squares in 4 ways, for example, as 151733124 + 809800849 = 12318^2 + 28457^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 961533973 - 2²⁵ = 927979541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961533953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738423 + ... + 739723.

It is an arithmetic number, because the mean of its divisors is an integer number (120576267).

Almost surely, 2^961533973 is an apocalyptic number.

It is an amenable number.

961533973 is a deficient number, since it is larger than the sum of its proper divisors (3076163).

961533973 is a wasteful number, since it uses less digits than its factorization.

961533973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095.

The product of its digits is 459270, while the sum is 46.

The square root of 961533973 is about 31008.6112717097. The cubic root of 961533973 is about 987.0099810557.

The spelling of 961533973 in words is "nine hundred sixty-one million, five hundred thirty-three thousand, nine hundred seventy-three".