313838 has 16 divisors (see below), whose sum is σ = 557280. Its totient is φ = 129696.

The previous prime is 313829. The next prime is 313849. The reversal of 313838 is 838313.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (34830).

2³¹³⁸³⁸ is an apocalyptic number.

313838 is a deficient number, since it is larger than the sum of its proper divisors (243442).

313838 is a wasteful number, since it uses less digits than its factorization.

313838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its digits is 1728, while the sum is 26.

The square root of 313838 is about 560.2124596972. The cubic root of 313838 is about 67.9571529384.

It can be divided in two parts, 3 and 13838, that multiplied together give a palindrome (41514).

The spelling of 313838 in words is "three hundred thirteen thousand, eight hundred thirty-eight".