314628 has 24 divisors (see below), whose sum is σ = 743232. Its totient is φ = 103584.

The previous prime is 314627. The next prime is 314641. The reversal of 314628 is 826413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 314598 and 314607.

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 314628.

It is not an unprimeable number, because it can be changed into a prime (314623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1801 + ... + 1967.

It is an arithmetic number, because the mean of its divisors is an integer number (30968).

314628 is a Friedman number, since it can be written as 68^3+14^2, using all its digits and the basic arithmetic operations.

2³¹⁴⁶²⁸ is an apocalyptic number.

It is an amenable number.

314628 is an abundant number, since it is smaller than the sum of its proper divisors (428604).

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

314628 is a wasteful number, since it uses less digits than its factorization.

314628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 314628 is about 560.9171061752. The cubic root of 314628 is about 68.0141262463.

It can be divided in two parts, 3146 and 28, that multiplied together give a palindrome (88088).

The spelling of 314628 in words is "three hundred fourteen thousand, six hundred twenty-eight".