8253 has 12 divisors (see below), whose sum is σ = 13728. Its totient is φ = 4680.

The previous prime is 8243. The next prime is 8263. The reversal of 8253 is 3528.

Added to its reverse (3528) it gives a triangular number (11781 = T₁₅₃).

It is an interprime number because it is at equal distance from previous prime (8243) and next prime (8263).

It is not a de Polignac number, because 8253 - 2⁴ = 8237 is a prime.

It is a super-2 number, since 2×8253² = 136224018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

8253 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8253.

It is not an unprimeable number, because it can be changed into a prime (8233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1144).

2⁸²⁵³ is an apocalyptic number.

It is an amenable number.

8253 is a deficient number, since it is larger than the sum of its proper divisors (5475).

8253 is a wasteful number, since it uses less digits than its factorization.

8253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8253 is about 90.8460235784. The cubic root of 8253 is about 20.2086490427.

Adding to 8253 its reverse (3528), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 825 and 3, that added together give a palindrome (828).

The spelling of 8253 in words is "eight thousand, two hundred fifty-three".