820467 has 6 divisors (see below), whose sum is σ = 1185132. Its totient is φ = 546972.

The previous prime is 820459. The next prime is 820481. The reversal of 820467 is 764028.

820467 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820467 - 2³ = 820459 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820467.

It is not an unprimeable number, because it can be changed into a prime (820427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45573 + ... + 45590.

It is an arithmetic number, because the mean of its divisors is an integer number (197522).

2⁸²⁰⁴⁶⁷ is an apocalyptic number.

820467 is a deficient number, since it is larger than the sum of its proper divisors (364665).

820467 is a wasteful number, since it uses less digits than its factorization.

820467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91169 (or 91166 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 820467 is about 905.7963347243. The cubic root of 820467 is about 93.6167814531.

The spelling of 820467 in words is "eight hundred twenty thousand, four hundred sixty-seven".