253314 has 16 divisors (see below), whose sum is σ = 563040. Its totient is φ = 84420.

The previous prime is 253307. The next prime is 253321. The reversal of 253314 is 413352.

It is an interprime number because it is at equal distance from previous prime (253307) and next prime (253321).

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253314.

It is an unprimeable number.

253314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292 + ... + 2399.

It is an arithmetic number, because the mean of its divisors is an integer number (35190).

2²⁵³³¹⁴ is an apocalyptic number.

253314 is an abundant number, since it is smaller than the sum of its proper divisors (309726).

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

253314 is a wasteful number, since it uses less digits than its factorization.

253314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4696 counting only the distinct ones).

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

The square root of 253314 is about 503.3030895991. The cubic root of 253314 is about 63.2731900571.

Adding to 253314 its reverse (413352), we get a palindrome (666666).

The spelling of 253314 in words is "two hundred fifty-three thousand, three hundred fourteen".