961344 has 42 divisors (see below), whose sum is σ = 2757170. Its totient is φ = 320256.

The previous prime is 961339. The next prime is 961393. The reversal of 961344 is 443169.

961344 is a `hidden beast` number, since 9 + 613 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 129600 = 912^2 + 360^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259 + ... + 1410.

2⁹⁶¹³⁴⁴ is an apocalyptic number.

It is an amenable number.

961344 is an abundant number, since it is smaller than the sum of its proper divisors (1795826).

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

961344 is a wasteful number, since it uses less digits than its factorization.

961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1674 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 961344 is about 980.4815143591. The cubic root of 961344 is about 98.6944974652.

The spelling of 961344 in words is "nine hundred sixty-one thousand, three hundred forty-four".