338961 has 8 divisors (see below), whose sum is σ = 516544. Its totient is φ = 193680.

The previous prime is 338959. The next prime is 338993. The reversal of 338961 is 169833.

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

It is not a de Polignac number, because 338961 - 2¹ = 338959 is a prime.

It is a super-2 number, since 2×338961² = 229789119042, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338961.

It is not an unprimeable number, because it can be changed into a prime (338161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8050 + ... + 8091.

It is an arithmetic number, because the mean of its divisors is an integer number (64568).

2³³⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

338961 is a deficient number, since it is larger than the sum of its proper divisors (177583).

338961 is a wasteful number, since it uses less digits than its factorization.

338961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151.

The product of its digits is 3888, while the sum is 30.

The square root of 338961 is about 582.2035726445. The cubic root of 338961 is about 69.7241524968.

The spelling of 338961 in words is "three hundred thirty-eight thousand, nine hundred sixty-one".