827897 has 8 divisors (see below), whose sum is σ = 956352. Its totient is φ = 702000.

The previous prime is 827873. The next prime is 827899. The reversal of 827897 is 798728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827897 - 2⁶ = 827833 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹² + 8² + 7² + 9² + 7⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827899) 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 7 ways as a sum of consecutive naturals, for example, 122 + ... + 1292.

It is an arithmetic number, because the mean of its divisors is an integer number (119544).

2⁸²⁷⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

827897 is a deficient number, since it is larger than the sum of its proper divisors (128455).

827897 is a wasteful number, since it uses less digits than its factorization.

827897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279.

The product of its digits is 56448, while the sum is 41.

The square root of 827897 is about 909.8884547020. Note that the first 3 decimals coincide. The cubic root of 827897 is about 93.8985248692.

The spelling of 827897 in words is "eight hundred twenty-seven thousand, eight hundred ninety-seven".