313782 has 32 divisors (see below), whose sum is σ = 743424. Its totient is φ = 86400.

The previous prime is 313777. The next prime is 313783. The reversal of 313782 is 287313.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (23232).

2³¹³⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371712).

313782 is an abundant number, since it is smaller than the sum of its proper divisors (429642).

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

313782 is a wasteful number, since it uses less digits than its factorization.

313782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

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

The square root of 313782 is about 560.1624764298. The cubic root of 313782 is about 67.9531106969.

The spelling of 313782 in words is "three hundred thirteen thousand, seven hundred eighty-two".