314352 has 60 divisors (see below), whose sum is σ = 918840. Its totient is φ = 100224.

The previous prime is 314351. The next prime is 314357. The reversal of 314352 is 253413.

314352 is a `hidden beast` number, since 314 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314352.

It is not an unprimeable number, because it can be changed into a prime (314351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5299 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (15314).

2³¹⁴³⁵² 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 314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459420).

314352 is an abundant number, since it is smaller than the sum of its proper divisors (604488).

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

314352 is a wasteful number, since it uses less digits than its factorization.

314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 314352 is about 560.6710265387. The cubic root of 314352 is about 67.9942324981.

Adding to 314352 its reverse (253413), we get a palindrome (567765).

It can be divided in two parts, 314 and 352, that added together give a palindrome (666).

The spelling of 314352 in words is "three hundred fourteen thousand, three hundred fifty-two".