338129 has 8 divisors (see below), whose sum is σ = 375840. Its totient is φ = 301600.

The previous prime is 338119. The next prime is 338137. The reversal of 338129 is 921833.

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

It is a cyclic number.

It is not a de Polignac number, because 338129 - 2⁸ = 337873 is a prime.

It is a super-2 number, since 2×338129² = 228662441282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 338098 and 338107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338129.

It is not an unprimeable number, because it can be changed into a prime (338119) 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, 389 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (46980).

2³³⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

338129 is a deficient number, since it is larger than the sum of its proper divisors (37711).

338129 is a wasteful number, since it uses less digits than its factorization.

338129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its digits is 1296, while the sum is 26.

The square root of 338129 is about 581.4886069391. The cubic root of 338129 is about 69.6670583934.

The spelling of 338129 in words is "three hundred thirty-eight thousand, one hundred twenty-nine".