338921 has 6 divisors (see below), whose sum is σ = 372666. Its totient is φ = 308000.

The previous prime is 338909. The next prime is 338927. The reversal of 338921 is 129833.

It can be written as a sum of positive squares in only one way, i.e., 290521 + 48400 = 539^2 + 220^2 .

It is not a de Polignac number, because 338921 - 2⁶ = 338857 is a prime.

It is a super-2 number, since 2×338921² = 229734888482, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338921.

It is not an unprimeable number, because it can be changed into a prime (338927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1280 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (62111).

2³³⁸⁹²¹ is an apocalyptic number.

It is an amenable number.

338921 is a deficient number, since it is larger than the sum of its proper divisors (33745).

338921 is a wasteful number, since it uses less digits than its factorization.

338921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2812 counting only the distinct ones).

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

The square root of 338921 is about 582.1692193856. The cubic root of 338921 is about 69.7214097271.

The spelling of 338921 in words is "three hundred thirty-eight thousand, nine hundred twenty-one".