806553 has 12 divisors (see below), whose sum is σ = 1271088. Its totient is φ = 488760.

The previous prime is 806549. The next prime is 806579. The reversal of 806553 is 355608.

806553 is a `hidden beast` number, since 8 + 0 + 655 + 3 = 666.

806553 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 806553 - 2² = 806549 is a prime.

It is not an unprimeable number, because it can be changed into a prime (806503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3975 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (105924).

2⁸⁰⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

806553 is a deficient number, since it is larger than the sum of its proper divisors (464535).

806553 is a wasteful number, since it uses less digits than its factorization.

806553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 806553 is about 898.0829583062. The cubic root of 806553 is about 93.0845571577.

It can be divided in two parts, 8065 and 53, that added together give a palindrome (8118).

The spelling of 806553 in words is "eight hundred six thousand, five hundred fifty-three".