964 has 6 divisors (see below), whose sum is σ = 1694. Its totient is φ = 480.

The previous prime is 953. The next prime is 967. The reversal of 964 is 469.

It can be divided in two parts, 96 and 4, that added together give a square (100 = 10^{2}).

It is a happy number.

964 is nontrivially palindromic in base 3, base 11 and base 15.

964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 900 + 64 = 30^2 + 8^2 .

964 is an undulating number in base 11.

964 is a nontrivial repdigit in base 15.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 117 + ... + 124.

It is an amenable number.

964 is a deficient number, since it is larger than the sum of its proper divisors (730).

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

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

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 964 is about 31.0483493925. The cubic root of 964 is about 9.8785304900.

The spelling of 964 in words is "nine hundred sixty-four", and thus it is an aban number.

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