827001 has 12 divisors (see below), whose sum is σ = 1365312. Its totient is φ = 472536.

The previous prime is 826997. The next prime is 827009. The reversal of 827001 is 100728.

It is not a de Polignac number, because 827001 - 2² = 826997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827009) 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, 6501 + ... + 6626.

It is an arithmetic number, because the mean of its divisors is an integer number (113776).

2⁸²⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

827001 is a deficient number, since it is larger than the sum of its proper divisors (538311).

827001 is a wasteful number, since it uses less digits than its factorization.

827001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 827001 is about 909.3959533668. The cubic root of 827001 is about 93.8646384285.

Adding to 827001 its reverse (100728), we get a palindrome (927729).

The spelling of 827001 in words is "eight hundred twenty-seven thousand, one".