4253 has 2 divisors, whose sum is σ = 4254. Its totient is φ = 4252.

The previous prime is 4243. The next prime is 4259. The reversal of 4253 is 3524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2809 + 1444 = 53^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 4253 - 2¹⁰ = 3229 is a prime.

It is a plaindrome in base 14.

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 4253.

It is not a weakly prime, because it can be changed into another prime (4259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2126 + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (2127).

2⁴²⁵³ is an apocalyptic number.

It is an amenable number.

4253 is a deficient number, since it is larger than the sum of its proper divisors (1).

4253 is an equidigital number, since it uses as much as digits as its factorization.

4253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 14.

The square root of 4253 is about 65.2150289427. The cubic root of 4253 is about 16.2018694180.

Adding to 4253 its reverse (3524), we get a palindrome (7777).

Subtracting from 4253 its reverse (3524), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 425 and 3, that multiplied together give a triangular number (1275 = T₅₀).

The spelling of 4253 in words is "four thousand, two hundred fifty-three".