312338 has 16 divisors (see below), whose sum is σ = 518616. Its totient is φ = 140160.

The previous prime is 312331. The next prime is 312343. The reversal of 312338 is 833213.

312338 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 214369 + 97969 = 463^2 + 313^2 .

It is not an unprimeable number, because it can be changed into a prime (312331) 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, 920 + ... + 1212.

2³¹²³³⁸ is an apocalyptic number.

312338 is a deficient number, since it is larger than the sum of its proper divisors (206278).

312338 is a wasteful number, since it uses less digits than its factorization.

312338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349.

The product of its digits is 432, while the sum is 20.

The square root of 312338 is about 558.8720783865. The cubic root of 312338 is about 67.8487121039.

The spelling of 312338 in words is "three hundred twelve thousand, three hundred thirty-eight".