820920001 has 16 divisors (see below), whose sum is σ = 917671680. Its totient is φ = 727962880.

The previous prime is 820919989. The next prime is 820920013. The reversal of 820920001 is 100029028.

It is an interprime number because it is at equal distance from previous prime (820919989) and next prime (820920013).

It is a cyclic number.

It is not a de Polignac number, because 820920001 - 2²⁵ = 787365569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820920091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161385 + ... + 166393.

It is an arithmetic number, because the mean of its divisors is an integer number (57354480).

Almost surely, 2^820920001 is an apocalyptic number.

It is an amenable number.

820920001 is a deficient number, since it is larger than the sum of its proper divisors (96751679).

820920001 is a wasteful number, since it uses less digits than its factorization.

820920001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 820920001 is about 28651.7015376051. The cubic root of 820920001 is about 936.3400769660.

Adding to 820920001 its reverse (100029028), we get a palindrome (920949029).

The spelling of 820920001 in words is "eight hundred twenty million, nine hundred twenty thousand, one".