827873 has 2 divisors, whose sum is σ = 827874. Its totient is φ = 827872.

The previous prime is 827867. The next prime is 827899. The reversal of 827873 is 378728.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 677329 + 150544 = 823^2 + 388^2 .

It is a cyclic number.

It is not a de Polignac number, because 827873 - 2⁴ = 827857 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (827803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413936 + 413937.

It is an arithmetic number, because the mean of its divisors is an integer number (413937).

2⁸²⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

827873 is a deficient number, since it is larger than the sum of its proper divisors (1).

827873 is an equidigital number, since it uses as much as digits as its factorization.

827873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 35.

The square root of 827873 is about 909.8752661766. The cubic root of 827873 is about 93.8976175155.

The spelling of 827873 in words is "eight hundred twenty-seven thousand, eight hundred seventy-three".