820267 has 16 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 645120.

The previous prime is 820247. The next prime is 820271. The reversal of 820267 is 762028.

It is not a de Polignac number, because 820267 - 2¹¹ = 818219 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820247) 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, 7203 + ... + 7315.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2⁸²⁰²⁶⁷ is an apocalyptic number.

820267 is a deficient number, since it is larger than the sum of its proper divisors (197525).

820267 is a wasteful number, since it uses less digits than its factorization.

820267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 820267 is about 905.6859279022. The cubic root of 820267 is about 93.6091740466.

The spelling of 820267 in words is "eight hundred twenty thousand, two hundred sixty-seven".