338507 has 6 divisors (see below), whose sum is σ = 366732. Its totient is φ = 312312.

The previous prime is 338497. The next prime is 338531. The reversal of 338507 is 705833.

It is not a de Polignac number, because 338507 - 2⁸ = 338251 is a prime.

It is a super-2 number, since 2×338507² = 229173978098, which contains 22 as substring.

It is a Duffinian number.

338507 is a modest number, since divided by 507 gives 338 as remainder.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338507.

It is not an unprimeable number, because it can be changed into a prime (338567) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 833 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (61122).

2³³⁸⁵⁰⁷ is an apocalyptic number.

338507 is a deficient number, since it is larger than the sum of its proper divisors (28225).

338507 is a wasteful number, since it uses less digits than its factorization.

338507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 338507 is about 581.8135440156. The cubic root of 338507 is about 69.6930093776.

The spelling of 338507 in words is "three hundred thirty-eight thousand, five hundred seven".