25033 has 2 divisors, whose sum is σ = 25034. Its totient is φ = 25032.

The previous prime is 25031. The next prime is 25037. The reversal of 25033 is 33052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 8649 = 128^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 25033 - 2¹ = 25031 is a prime.

Together with 25031, it forms a pair of twin primes.

25033 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (25031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12516 + 12517.

It is an arithmetic number, because the mean of its divisors is an integer number (12517).

2²⁵⁰³³ is an apocalyptic number.

It is an amenable number.

25033 is a deficient number, since it is larger than the sum of its proper divisors (1).

25033 is an equidigital number, since it uses as much as digits as its factorization.

25033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 25033 is about 158.2182037567. The cubic root of 25033 is about 29.2530374034.

Adding to 25033 its reverse (33052), we get a palindrome (58085).

The spelling of 25033 in words is "twenty-five thousand, thirty-three".