314253 has 16 divisors (see below), whose sum is σ = 474240. Its totient is φ = 205632.

The previous prime is 314243. The next prime is 314257. The reversal of 314253 is 352413.

It is not a de Polignac number, because 314253 - 2⁶ = 314189 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

314253 is a lucky number.

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 314253.

It is not an unprimeable number, because it can be changed into a prime (314257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725 + ... + 2837.

It is an arithmetic number, because the mean of its divisors is an integer number (29640).

2³¹⁴²⁵³ is an apocalyptic number.

It is an amenable number.

314253 is a deficient number, since it is larger than the sum of its proper divisors (159987).

314253 is a wasteful number, since it uses less digits than its factorization.

314253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

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

The square root of 314253 is about 560.5827325204. The cubic root of 314253 is about 67.9870938597.

Adding to 314253 its reverse (352413), we get a palindrome (666666).

The spelling of 314253 in words is "three hundred fourteen thousand, two hundred fifty-three".