853807 has 2 divisors, whose sum is σ = 853808. Its totient is φ = 853806.

The previous prime is 853799. The next prime is 853813. The reversal of 853807 is 708358.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 853807 - 2³ = 853799 is a prime.

853807 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (853837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426903 + 426904.

It is an arithmetic number, because the mean of its divisors is an integer number (426904).

2⁸⁵³⁸⁰⁷ is an apocalyptic number.

853807 is a deficient number, since it is larger than the sum of its proper divisors (1).

853807 is an equidigital number, since it uses as much as digits as its factorization.

853807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 853807 is about 924.0167747395. The cubic root of 853807 is about 94.8680346839.

Subtracting from 853807 its sum of digits (31), we obtain a square (853776 = 924²).

The spelling of 853807 in words is "eight hundred fifty-three thousand, eight hundred seven".