961956 has 30 divisors (see below), whose sum is σ = 2515590. Its totient is φ = 320544.

The previous prime is 961943. The next prime is 961957. The reversal of 961956 is 659169.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 443556 = 720^2 + 666^2 .

It is a super-4 number, since 4×961956⁴ (a number of 25 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 961956.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961956.

It is not an unprimeable number, because it can be changed into a prime (961957) 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 9 ways as a sum of consecutive naturals, for example, 1161 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (83853).

2⁹⁶¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

961956 is an abundant number, since it is smaller than the sum of its proper divisors (1553634).

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

961956 is a wasteful number, since it uses less digits than its factorization.

961956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2974 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 961956 is about 980.7935562594. The cubic root of 961956 is about 98.7154362827.

Subtracting from 961956 its product of digits (14580), we obtain a triangular number (947376 = T₁₃₇₆).

The spelling of 961956 in words is "nine hundred sixty-one thousand, nine hundred fifty-six".