338967 has 6 divisors (see below), whose sum is σ = 489632. Its totient is φ = 225972.

The previous prime is 338959. The next prime is 338993. The reversal of 338967 is 769833.

It is not a de Polignac number, because 338967 - 2³ = 338959 is a prime.

It is a super-2 number, since 2×338967² = 229797254178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338927) 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, 18823 + ... + 18840.

2³³⁸⁹⁶⁷ is an apocalyptic number.

338967 is a deficient number, since it is larger than the sum of its proper divisors (150665).

338967 is a wasteful number, since it uses less digits than its factorization.

338967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37669 (or 37666 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 338967 is about 582.2087254585. The cubic root of 338967 is about 69.7245638936.

The spelling of 338967 in words is "three hundred thirty-eight thousand, nine hundred sixty-seven".