25633 has 2 divisors, whose sum is σ = 25634. Its totient is φ = 25632.

The previous prime is 25621. The next prime is 25639. The reversal of 25633 is 33652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 5184 = 143^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 25633 - 2⁵ = 25601 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 25633.

It is not a weakly prime, because it can be changed into another prime (25639) by changing a digit.

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, 12816 + 12817.

It is an arithmetic number, because the mean of its divisors is an integer number (12817).

2²⁵⁶³³ is an apocalyptic number.

It is an amenable number.

25633 is a deficient number, since it is larger than the sum of its proper divisors (1).

25633 is an equidigital number, since it uses as much as digits as its factorization.

25633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 19.

The square root of 25633 is about 160.1030917878. The cubic root of 25633 is about 29.4849104098.

Adding to 25633 its sum of digits (19), we get a palindrome (25652).

It can be divided in two parts, 256 and 33, that multiplied together give a palindrome (8448).

The spelling of 25633 in words is "twenty-five thousand, six hundred thirty-three".