24964 has 9 divisors (see below), whose sum is σ = 44247. Its totient is φ = 12324.

The previous prime is 24953. The next prime is 24967. The reversal of 24964 is 46942.

Multipling 24964 by its sum of digits (25), we get a square (624100 = 790^{2}).

It can be divided in two parts, 2496 and 4, that added together give a square (2500 = 50^{2}).

24964 = T_{157} + T_{158}.

24964 = 20^{2} + 21^{2} + ... + 43^{2}.

The square root of 24964 is 158.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24967) by changing a digit.

24964 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 in 2 ways as a sum of consecutive naturals, for example, 277 + ... + 355.

24964 is a Friedman number, since it can be written as (94+64)^2, using all its digits and the basic arithmetic operations.

2^{24964} is an apocalyptic number.

24964 is the 158-th square number.

It is an amenable number.

24964 is a deficient number, since it is larger than the sum of its proper divisors (19283).

24964 is an equidigital number, since it uses as much as digits as its factorization.

24964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The cubic root of 24964 is about 29.2261353547.

The spelling of 24964 in words is "twenty-four thousand, nine hundred sixty-four".

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