6253 has 6 divisors (see below), whose sum is σ = 6954. Its totient is φ = 5616.

The previous prime is 6247. The next prime is 6257. The reversal of 6253 is 3526.

6253 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 5929 = 18^2 + 77^2 .

It is not a de Polignac number, because 6253 - 2⁵ = 6221 is a prime.

It is a Duffinian number.

6253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6257) 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 in 5 ways as a sum of consecutive naturals, for example, 151 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1159).

It is an amenable number.

6253 is a deficient number, since it is larger than the sum of its proper divisors (701).

6253 is a wasteful number, since it uses less digits than its factorization.

6253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 6253 is about 79.0759128939. The cubic root of 6253 is about 18.4231042470.

Adding to 6253 its reverse (3526), we get a palindrome (9779).

The spelling of 6253 in words is "six thousand, two hundred fifty-three".