827273 has 4 divisors (see below), whose sum is σ = 834708. Its totient is φ = 819840.

The previous prime is 827269. The next prime is 827293. The reversal of 827273 is 372728.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 822649 = 68^2 + 907^2 .

It is a cyclic number.

It is not a de Polignac number, because 827273 - 2² = 827269 is a prime.

It is a super-3 number, since 3×827273³ = 1698508817333386251, which contains 333 as substring.

It is a d-powerful number, because it can be written as 8³ + 2⁹ + 2⁹ + 7 + 7⁷ + 3⁷ .

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3548 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (208677).

2⁸²⁷²⁷³ is an apocalyptic number.

It is an amenable number.

827273 is a deficient number, since it is larger than the sum of its proper divisors (7435).

827273 is a wasteful number, since it uses less digits than its factorization.

827273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434.

The product of its digits is 4704, while the sum is 29.

The square root of 827273 is about 909.5454908909. The cubic root of 827273 is about 93.8749279699.

The spelling of 827273 in words is "eight hundred twenty-seven thousand, two hundred seventy-three".