964953 has 36 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 554040.

The previous prime is 964939. The next prime is 964967. The reversal of 964953 is 359469.

964953 is a `hidden beast` number, since 9 + 649 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (964939) and next prime (964967).

It is not a de Polignac number, because 964953 - 2⁶ = 964889 is a prime.

It is a super-2 number, since 2×964953² = 1862268584418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (964913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50778 + ... + 50796.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

2⁹⁶⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

964953 is a deficient number, since it is larger than the sum of its proper divisors (699255).

964953 is a wasteful number, since it uses less digits than its factorization.

964953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 964953 is about 982.3202125580. The cubic root of 964953 is about 98.8178468746.

The spelling of 964953 in words is "nine hundred sixty-four thousand, nine hundred fifty-three".