338253 has 8 divisors (see below), whose sum is σ = 454848. Its totient is φ = 223584.

The previous prime is 338251. The next prime is 338263. The reversal of 338253 is 352833.

338253 is a nontrivial binomial coefficient, being equal to C(823, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338253 - 2¹ = 338251 is a prime.

It is a super-2 number, since 2×338253² = 228830184018, which contains 22 as substring.

338253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (56856).

2³³⁸²⁵³ is an apocalyptic number.

338253 is the 822-nd triangular number.

It is an amenable number.

338253 is a deficient number, since it is larger than the sum of its proper divisors (116595).

338253 is a wasteful number, since it uses less digits than its factorization.

338253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963.

The product of its digits is 2160, while the sum is 24.

The square root of 338253 is about 581.5952200629. The cubic root of 338253 is about 69.6755735453.

It can be divided in two parts, 33825 and 3, that multiplied together give a triangular number (101475 = T₄₅₀).

The spelling of 338253 in words is "three hundred thirty-eight thousand, two hundred fifty-three".