24953 has 2 divisors, whose sum is σ = 24954. Its totient is φ = 24952.

The previous prime is 24943. The next prime is 24967. The reversal of 24953 is 35942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 1849 = 152^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 24953 - 2⁶ = 24889 is a prime.

It is a d-powerful number, because it can be written as 2¹³ + 4⁷ + 9 + 5³ + 3⁵ .

It is not a weakly prime, because it can be changed into another prime (24923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12476 + 12477.

It is an arithmetic number, because the mean of its divisors is an integer number (12477).

2²⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

24953 is a deficient number, since it is larger than the sum of its proper divisors (1).

24953 is an equidigital number, since it uses as much as digits as its factorization.

24953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 24953 is about 157.9651860379. The cubic root of 24953 is about 29.2218420427.

Adding to 24953 its sum of digits (23), we get a triangular number (24976 = T₂₂₃).

The spelling of 24953 in words is "twenty-four thousand, nine hundred fifty-three".