338801 has 4 divisors (see below), whose sum is σ = 341412. Its totient is φ = 336192.

The previous prime is 338791. The next prime is 338803. The reversal of 338801 is 108833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 108833 = 43 ⋅2531.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 112225 = 476^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 338801 - 2¹⁴ = 322417 is a prime.

It is a super-2 number, since 2×338801² = 229572235202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (85353).

2³³⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

338801 is a deficient number, since it is larger than the sum of its proper divisors (2611).

338801 is a wasteful number, since it uses less digits than its factorization.

338801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 338801 is about 582.0661474437. The cubic root of 338801 is about 69.7131801232.

It can be divided in two parts, 3 and 38801, that multiplied together give a triangular number (116403 = T₄₈₂).

The spelling of 338801 in words is "three hundred thirty-eight thousand, eight hundred one".