338313 has 4 divisors (see below), whose sum is σ = 451088. Its totient is φ = 225540.

The previous prime is 338309. The next prime is 338321. The reversal of 338313 is 313833.

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.

It is not a de Polignac number, because 338313 - 2² = 338309 is a prime.

It is a super-2 number, since 2×338313² = 228911371938, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

338313 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 338313.

It is not an unprimeable number, because it can be changed into a prime (338323) 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, 56383 + ... + 56388.

It is an arithmetic number, because the mean of its divisors is an integer number (112772).

2³³⁸³¹³ is an apocalyptic number.

It is an amenable number.

338313 is a deficient number, since it is larger than the sum of its proper divisors (112775).

338313 is a wasteful number, since it uses less digits than its factorization.

338313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112774.

The product of its digits is 648, while the sum is 21.

The square root of 338313 is about 581.6468000428. The cubic root of 338313 is about 69.6796930331.

The spelling of 338313 in words is "three hundred thirty-eight thousand, three hundred thirteen".