827217 has 12 divisors (see below), whose sum is σ = 1207440. Its totient is φ = 545688.

The previous prime is 827213. The next prime is 827227. The reversal of 827217 is 712728.

It is not a de Polignac number, because 827217 - 2² = 827213 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827217.

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 11 ways as a sum of consecutive naturals, for example, 534 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (100620).

2⁸²⁷²¹⁷ is an apocalyptic number.

It is an amenable number.

827217 is a deficient number, since it is larger than the sum of its proper divisors (380223).

827217 is a wasteful number, since it uses less digits than its factorization.

827217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 827217 is about 909.5147057635. The cubic root of 827217 is about 93.8728097193.

It can be divided in two parts, 82721 and 7, that added together give a palindrome (82728).

The spelling of 827217 in words is "eight hundred twenty-seven thousand, two hundred seventeen".