314982 has 32 divisors (see below), whose sum is σ = 739200. Its totient is φ = 99144.

The previous prime is 314957. The next prime is 314983. The reversal of 314982 is 289413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314983) by changing a digit.

314982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

314982 is a Friedman number, since it can be written as 3*(18^4+9*2), using all its digits and the basic arithmetic operations.

2³¹⁴⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600).

314982 is an abundant number, since it is smaller than the sum of its proper divisors (424218).

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

314982 is a wasteful number, since it uses less digits than its factorization.

314982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 314982 is about 561.2325721125. The cubic root of 314982 is about 68.0396251173.

It can be divided in two parts, 314 and 982, that added together give a 4-th power (1296 = 6⁴).

The spelling of 314982 in words is "three hundred fourteen thousand, nine hundred eighty-two".