806031 has 24 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 515160.

The previous prime is 806027. The next prime is 806033. The reversal of 806031 is 130608.

806031 = 146² + 147² + ... + 176².

806031 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 806031 - 2² = 806027 is a prime.

It is a super-2 number, since 2×806031² = 1299371945922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 805995 and 806013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806031.

It is not an unprimeable number, because it can be changed into a prime (806033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7480 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

2⁸⁰⁶⁰³¹ is an apocalyptic number.

806031 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

806031 is a deficient number, since it is larger than the sum of its proper divisors (451953).

806031 is a wasteful number, since it uses less digits than its factorization.

806031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 806031 is about 897.7922922369. The cubic root of 806031 is about 93.0644714245.

Adding to 806031 its reverse (130608), we get a palindrome (936639).

The spelling of 806031 in words is "eight hundred six thousand, thirty-one".