961575 has 12 divisors (see below), whose sum is σ = 1589928. Its totient is φ = 512800.

The previous prime is 961567. The next prime is 961601. The reversal of 961575 is 575169.

It is not a de Polignac number, because 961575 - 2³ = 961567 is a prime.

961575 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961575.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6336 + ... + 6485.

It is an arithmetic number, because the mean of its divisors is an integer number (132494).

2⁹⁶¹⁵⁷⁵ is an apocalyptic number.

961575 is a deficient number, since it is larger than the sum of its proper divisors (628353).

961575 is a wasteful number, since it uses less digits than its factorization.

961575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12834 (or 12829 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 961575 is about 980.5993065468. The cubic root of 961575 is about 98.7024018862.

The spelling of 961575 in words is "nine hundred sixty-one thousand, five hundred seventy-five".