820927 has 2 divisors, whose sum is σ = 820928. Its totient is φ = 820926.

The previous prime is 820921. The next prime is 820957. The reversal of 820927 is 729028.

820927 is nontrivially palindromic in base 5.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820927 - 2¹⁵ = 788159 is a prime.

It is a super-2 number, since 2×820927² = 1347842278658, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 820895 and 820904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410463 + 410464.

It is an arithmetic number, because the mean of its divisors is an integer number (410464).

2⁸²⁰⁹²⁷ is an apocalyptic number.

820927 is a deficient number, since it is larger than the sum of its proper divisors (1).

820927 is an equidigital number, since it uses as much as digits as its factorization.

820927 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 820927 is about 906.0502193587. The cubic root of 820927 is about 93.6342737975.

The spelling of 820927 in words is "eight hundred twenty thousand, nine hundred twenty-seven".