338345 has 12 divisors (see below), whose sum is σ = 472644. Its totient is φ = 231840.

The previous prime is 338341. The next prime is 338347. The reversal of 338345 is 543833.

338345 = 3² + 4² + ... + 100².

It can be written as a sum of positive squares in 2 ways, for example, as 137641 + 200704 = 371^2 + 448^2 .

It is not a de Polignac number, because 338345 - 2² = 338341 is a prime.

It is a super-2 number, since 2×338345² = 228954678050, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 446 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (39387).

2³³⁸³⁴⁵ is an apocalyptic number.

338345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338345 is a deficient number, since it is larger than the sum of its proper divisors (134299).

338345 is a wasteful number, since it uses less digits than its factorization.

338345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1393 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 338345 is about 581.6743074952. The cubic root of 338345 is about 69.6818898941.

The spelling of 338345 in words is "three hundred thirty-eight thousand, three hundred forty-five".