814275 has 72 divisors (see below), whose sum is σ = 1857024. Its totient is φ = 331200.

The previous prime is 814243. The next prime is 814279. The reversal of 814275 is 572418.

814275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814275 - 2⁵ = 814243 is a prime.

814275 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 814275.

It is not an unprimeable number, because it can be changed into a prime (814279) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17302 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2⁸¹⁴²⁷⁵ is an apocalyptic number.

814275 is an abundant number, since it is smaller than the sum of its proper divisors (1042749).

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

814275 is a wasteful number, since it uses less digits than its factorization.

814275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 814275 is about 902.3718745617. The cubic root of 814275 is about 93.3806803424.

It can be divided in two parts, 814 and 275, that added together give a square (1089 = 33²).

The spelling of 814275 in words is "eight hundred fourteen thousand, two hundred seventy-five".