388314 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 119232.

The previous prime is 388313. The next prime is 388319. The reversal of 388314 is 413883.

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 (388313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8239 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³⁸⁸³¹⁴ is an apocalyptic number.

388314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 388314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

388314 is an abundant number, since it is smaller than the sum of its proper divisors (555174).

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

388314 is a wasteful number, since it uses less digits than its factorization.

388314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

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

The square root of 388314 is about 623.1484574321. The cubic root of 388314 is about 72.9560002568.

The spelling of 388314 in words is "three hundred eighty-eight thousand, three hundred fourteen".