313776 has 30 divisors (see below), whose sum is σ = 878540. Its totient is φ = 104544.

The previous prime is 313763. The next prime is 313777. The reversal of 313776 is 677313.

313776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (313777) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 946 + ... + 1233.

2³¹³⁷⁷⁶ is an apocalyptic number.

313776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313776 is an abundant number, since it is smaller than the sum of its proper divisors (564764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313776 is a wasteful number, since it uses less digits than its factorization.

313776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2184 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 313776 is about 560.1571208152. The cubic root of 313776 is about 67.9526775711.

It can be divided in two parts, 313 and 776, that added together give a square (1089 = 33²).

The spelling of 313776 in words is "three hundred thirteen thousand, seven hundred seventy-six".