338484833 has 8 divisors (see below), whose sum is σ = 341932968. Its totient is φ = 335044864.

The previous prime is 338484827. The next prime is 338484851.

338484833 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 70442449 + 268042384 = 8393^2 + 16372^2 .

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 338484833 - 2⁸ = 338484577 is a prime.

It is a super-2 number, since 2×338484833² = 229143964342075778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338484823) 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, 112991 + ... + 115947.

It is an arithmetic number, because the mean of its divisors is an integer number (42741621).

Almost surely, 2^338484833 is an apocalyptic number.

It is an amenable number.

338484833 is a deficient number, since it is larger than the sum of its proper divisors (3448135).

338484833 is a wasteful number, since it uses less digits than its factorization.

338484833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083.

The product of its digits is 663552, while the sum is 44.

The square root of 338484833 is about 18397.9573050923. The cubic root of 338484833 is about 696.9148807115.

The spelling of 338484833 in words is "three hundred thirty-eight million, four hundred eighty-four thousand, eight hundred thirty-three".