810849 has 16 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 469248.

The previous prime is 810839. The next prime is 810853. The reversal of 810849 is 948018.

It is a happy number.

It is not a de Polignac number, because 810849 - 2¹⁵ = 778081 is a prime.

It is a super-2 number, since 2×810849² = 1314952201602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (810809) 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 in 15 ways as a sum of consecutive naturals, for example, 52 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

2⁸¹⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

810849 is a deficient number, since it is larger than the sum of its proper divisors (422943).

810849 is a wasteful number, since it uses less digits than its factorization.

810849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 810849 is about 900.4715431373. The cubic root of 810849 is about 93.2495322064.

The spelling of 810849 in words is "eight hundred ten thousand, eight hundred forty-nine".