827253 has 20 divisors (see below), whose sum is σ = 1413280. Its totient is φ = 472392.

The previous prime is 827251. The next prime is 827269. The reversal of 827253 is 352728.

It is not a de Polignac number, because 827253 - 2¹ = 827251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8² + 2⁸ + 2⁸ + 7⁷ + 5⁵ + 3² .

It is a Duffinian number.

827253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (70664).

2⁸²⁷²⁵³ is an apocalyptic number.

It is an amenable number.

827253 is a deficient number, since it is larger than the sum of its proper divisors (586027).

827253 is a wasteful number, since it uses less digits than its factorization.

827253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 827253 is about 909.5344963222. The cubic root of 827253 is about 93.8741714628.

It can be divided in two parts, 82725 and 3, that added together give a palindrome (82728).

The spelling of 827253 in words is "eight hundred twenty-seven thousand, two hundred fifty-three".