961312 has 24 divisors (see below), whose sum is σ = 2065392. Its totient is φ = 436800.

The previous prime is 961283. The next prime is 961313. The reversal of 961312 is 213169.

It is a super-2 number, since 2×961312² = 1848241522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (961313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014 + ... + 1717.

It is an arithmetic number, because the mean of its divisors is an integer number (86058).

2⁹⁶¹³¹² is an apocalyptic number.

It is an amenable number.

961312 is an abundant number, since it is smaller than the sum of its proper divisors (1104080).

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

961312 is a wasteful number, since it uses less digits than its factorization.

961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2744 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 961312 is about 980.4651957107. The cubic root of 961312 is about 98.6934023806.

The spelling of 961312 in words is "nine hundred sixty-one thousand, three hundred twelve".