36253 has 4 divisors (see below), whose sum is σ = 41440. Its totient is φ = 31068.

The previous prime is 36251. The next prime is 36263. The reversal of 36253 is 35263.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35263 = 179 ⋅197.

It is a cyclic number.

It is not a de Polignac number, because 36253 - 2¹ = 36251 is a prime.

It is a d-powerful number, because it can be written as 3⁴ + 6² + 2¹⁵ + 5⁵ + 3⁵ .

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 36253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2583 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (10360).

2³⁶²⁵³ is an apocalyptic number.

It is an amenable number.

36253 is a deficient number, since it is larger than the sum of its proper divisors (5187).

36253 is an equidigital number, since it uses as much as digits as its factorization.

36253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186.

The product of its digits is 540, while the sum is 19.

The square root of 36253 is about 190.4022058696. The cubic root of 36253 is about 33.0964426951.

Subtracting from 36253 its reverse (35263), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 36 and 253, that added together give a square (289 = 17²).

The spelling of 36253 in words is "thirty-six thousand, two hundred fifty-three".