961761 has 16 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 592848.

The previous prime is 961757. The next prime is 961769. The reversal of 961761 is 167169.

It is not a de Polignac number, because 961761 - 2² = 961757 is a prime.

It is a super-2 number, since 2×961761² = 1849968442242, which contains 22 as substring.

961761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 2858.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

2⁹⁶¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

961761 is a deficient number, since it is larger than the sum of its proper divisors (420639).

961761 is a wasteful number, since it uses less digits than its factorization.

961761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 2268, while the sum is 30.

The square root of 961761 is about 980.6941419219. The cubic root of 961761 is about 98.7087655649.

The spelling of 961761 in words is "nine hundred sixty-one thousand, seven hundred sixty-one".