827057 has 16 divisors (see below), whose sum is σ = 1078272. Its totient is φ = 615120.

The previous prime is 827041. The next prime is 827063. The reversal of 827057 is 750728.

It is not a de Polignac number, because 827057 - 2⁴ = 827041 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹⁰ + 0 + 7⁴ + 5² + 7⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827087) 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 15 ways as a sum of consecutive naturals, for example, 1538 + ... + 2004.

It is an arithmetic number, because the mean of its divisors is an integer number (67392).

2⁸²⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

827057 is a deficient number, since it is larger than the sum of its proper divisors (251215).

827057 is a wasteful number, since it uses less digits than its factorization.

827057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 827057 is about 909.4267425142. The cubic root of 827057 is about 93.8667570479.

The spelling of 827057 in words is "eight hundred twenty-seven thousand, fifty-seven".