314625 has 16 divisors (see below), whose sum is σ = 524160. Its totient is φ = 167600.

The previous prime is 314623. The next prime is 314627. The reversal of 314625 is 526413.

It is a happy number.

314625 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314623) and next prime (314627).

It is not a de Polignac number, because 314625 - 2¹ = 314623 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 1 + 6⁶ + 4⁹ + 2⁹ + 5⁵ .

314625 is strictly pandigital in base 7.

314625 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314625.

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 15 ways as a sum of consecutive naturals, for example, 45 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2³¹⁴⁶²⁵ is an apocalyptic number.

It is an amenable number.

314625 is a deficient number, since it is larger than the sum of its proper divisors (209535).

314625 is an equidigital number, since it uses as much as digits as its factorization.

314625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 314625 is about 560.9144319769. The cubic root of 314625 is about 68.0139100725.

It can be divided in two parts, 314 and 625, that added together give a palindrome (939).

The spelling of 314625 in words is "three hundred fourteen thousand, six hundred twenty-five".