338353 has 8 divisors (see below), whose sum is σ = 361728. Its totient is φ = 315744.

The previous prime is 338347. The next prime is 338369. The reversal of 338353 is 353833.

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

It is not a de Polignac number, because 338353 - 2⁵ = 338321 is a prime.

It is a super-2 number, since 2×338353² = 228965505218, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 925 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (45216).

2³³⁸³⁵³ is an apocalyptic number.

It is an amenable number.

338353 is a deficient number, since it is larger than the sum of its proper divisors (23375).

338353 is a wasteful number, since it uses less digits than its factorization.

338353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its digits is 3240, while the sum is 25.

The square root of 338353 is about 581.6811841550. The cubic root of 338353 is about 69.6824390877.

The spelling of 338353 in words is "three hundred thirty-eight thousand, three hundred fifty-three".