961764 has 12 divisors (see below), whose sum is σ = 2244144. Its totient is φ = 320584.

The previous prime is 961757. The next prime is 961769. The reversal of 961764 is 467169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961764.

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 3 ways as a sum of consecutive naturals, for example, 40062 + ... + 40085.

It is an arithmetic number, because the mean of its divisors is an integer number (187012).

2⁹⁶¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

961764 is an abundant number, since it is smaller than the sum of its proper divisors (1282380).

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

961764 is a wasteful number, since it uses less digits than its factorization.

961764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80154 (or 80152 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 961764 is about 980.6956714496. The cubic root of 961764 is about 98.7088681982.

The spelling of 961764 in words is "nine hundred sixty-one thousand, seven hundred sixty-four".