338349 has 8 divisors (see below), whose sum is σ = 492192. Its totient is φ = 205040.

The previous prime is 338347. The next prime is 338369. The reversal of 338349 is 943833.

338349 = 2² + 3² + ... + 100².

It is a happy number.

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

It is not a de Polignac number, because 338349 - 2¹ = 338347 is a prime.

It is a super-2 number, since 2×338349² = 228960091602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338341) 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, 5094 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (61524).

2³³⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

338349 is a deficient number, since it is larger than the sum of its proper divisors (153843).

338349 is a wasteful number, since it uses less digits than its factorization.

338349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267.

The product of its digits is 7776, while the sum is 30.

The square root of 338349 is about 581.6777458353. The cubic root of 338349 is about 69.6821644919.

The spelling of 338349 in words is "three hundred thirty-eight thousand, three hundred forty-nine".