338953 has 4 divisors (see below), whose sum is σ = 344080. Its totient is φ = 333828.

The previous prime is 338927. The next prime is 338959. The reversal of 338953 is 359833.

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: 359833 = 151 ⋅2383.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338953 is a prime.

It is a super-2 number, since 2×338953² = 229778272418, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

338953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (338959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2463 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (86020).

2³³⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

338953 is a deficient number, since it is larger than the sum of its proper divisors (5127).

338953 is an equidigital number, since it uses as much as digits as its factorization.

338953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126.

The product of its digits is 9720, while the sum is 31.

The square root of 338953 is about 582.1967021549. The cubic root of 338953 is about 69.7236039601.

The spelling of 338953 in words is "three hundred thirty-eight thousand, nine hundred fifty-three".