820017 has 24 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 495000.

The previous prime is 819991. The next prime is 820037. The reversal of 820017 is 710028.

It is not a de Polignac number, because 820017 - 2⁸ = 819761 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (820037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2⁸²⁰⁰¹⁷ is an apocalyptic number.

It is an amenable number.

820017 is a deficient number, since it is larger than the sum of its proper divisors (520623).

820017 is a wasteful number, since it uses less digits than its factorization.

820017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

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

The square root of 820017 is about 905.5479004448. The cubic root of 820017 is about 93.5996630494.

The spelling of 820017 in words is "eight hundred twenty thousand, seventeen".