313827 has 8 divisors (see below), whose sum is σ = 424464. Its totient is φ = 206208.

The previous prime is 313783. The next prime is 313829. The reversal of 313827 is 728313.

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

It is not a de Polignac number, because 313827 - 2⁶ = 313763 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 313797 and 313806.

It is not an unprimeable number, because it can be changed into a prime (313829) 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, 498 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (53058).

2³¹³⁸²⁷ is an apocalyptic number.

313827 is a deficient number, since it is larger than the sum of its proper divisors (110637).

313827 is a wasteful number, since it uses less digits than its factorization.

313827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509.

The product of its digits is 1008, while the sum is 24.

The square root of 313827 is about 560.2026419074. The cubic root of 313827 is about 67.9563589646.

The spelling of 313827 in words is "three hundred thirteen thousand, eight hundred twenty-seven".