964665 has 48 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 442368.

The previous prime is 964661. The next prime is 964679. The reversal of 964665 is 566469.

It is a happy number.

964665 is a `hidden beast` number, since 9 + 646 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19881 + 944784 = 141^2 + 972^2 .

It is not a de Polignac number, because 964665 - 2² = 964661 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (38880) is a multiple of the sum of its prime divisors (135).

It is a Curzon number.

964665 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (964661) 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 47 ways as a sum of consecutive naturals, for example, 9897 + ... + 9993.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2⁹⁶⁴⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

964665 is a deficient number, since it is larger than the sum of its proper divisors (961623).

964665 is a wasteful number, since it uses less digits than its factorization.

964665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 964665 is about 982.1736099081. The cubic root of 964665 is about 98.8080148339.

It can be divided in two parts, 96 and 4665, that added together give a square (4761 = 69²).

The spelling of 964665 in words is "nine hundred sixty-four thousand, six hundred sixty-five".