34253 has 2 divisors, whose sum is σ = 34254. Its totient is φ = 34252.

The previous prime is 34231. The next prime is 34259. The reversal of 34253 is 35243.

34253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 9604 = 157^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 34253 - 2⁸ = 33997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17126 + 17127.

It is an arithmetic number, because the mean of its divisors is an integer number (17127).

2³⁴²⁵³ is an apocalyptic number.

It is an amenable number.

34253 is a deficient number, since it is larger than the sum of its proper divisors (1).

34253 is an equidigital number, since it uses as much as digits as its factorization.

34253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 17.

The square root of 34253 is about 185.0756602041. The cubic root of 34253 is about 32.4762745976.

Adding to 34253 its reverse (35243), we get a palindrome (69496).

Subtracting 34253 from its reverse (35243), we obtain a triangular number (990 = T₄₄).

The spelling of 34253 in words is "thirty-four thousand, two hundred fifty-three".