827397 has 12 divisors (see below), whose sum is σ = 1205100. Its totient is φ = 547008.

The previous prime is 827389. The next prime is 827417. The reversal of 827397 is 793728.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 772641 = 234^2 + 879^2 .

It is not a de Polignac number, because 827397 - 2³ = 827389 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827397.

It is not an unprimeable number, because it can be changed into a prime (827327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (100425).

2⁸²⁷³⁹⁷ is an apocalyptic number.

It is an amenable number.

827397 is a deficient number, since it is larger than the sum of its proper divisors (377703).

827397 is a wasteful number, since it uses less digits than its factorization.

827397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 769 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 827397 is about 909.6136542511. The cubic root of 827397 is about 93.8796180418.

The spelling of 827397 in words is "eight hundred twenty-seven thousand, three hundred ninety-seven".