314388 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 100800.

The previous prime is 314359. The next prime is 314399. The reversal of 314388 is 883413.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³¹⁴³⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

314388 is an abundant number, since it is smaller than the sum of its proper divisors (532332).

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

314388 is a wasteful number, since it uses less digits than its factorization.

314388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 314388 is about 560.7031300073. The cubic root of 314388 is about 67.9968279951.

The spelling of 314388 in words is "three hundred fourteen thousand, three hundred eighty-eight".