3253 has 2 divisors, whose sum is σ = 3254. Its totient is φ = 3252.

The previous prime is 3251. The next prime is 3257. The reversal of 3253 is 3523.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3249 + 4 = 57^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 3253 - 2¹ = 3251 is a prime.

Together with 3251, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3251) 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, 1626 + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (1627).

2³²⁵³ is an apocalyptic number.

It is an amenable number.

3253 is a deficient number, since it is larger than the sum of its proper divisors (1).

3253 is an equidigital number, since it uses as much as digits as its factorization.

3253 is an odious number, because the sum of its binary digits is odd.

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

The square root of 3253 is about 57.0350769264. The cubic root of 3253 is about 14.8170366266.

Subtracting from 3253 its sum of digits (13), we obtain a triangular number (3240 = T₈₀).

Adding to 3253 its reverse (3523), we get a palindrome (6776).

It can be divided in two parts, 3 and 253, that added together give a 8-th power (256 = 2⁸).

The spelling of 3253 in words is "three thousand, two hundred fifty-three".