806975 has 18 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 592800.

The previous prime is 806951. The next prime is 806977. The reversal of 806975 is 579608.

806975 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 806975 - 2⁸ = 806719 is a prime.

It is a Duffinian number.

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 806975.

It is not an unprimeable number, because it can be changed into a prime (806977) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4130 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (60512).

2⁸⁰⁶⁹⁷⁵ is an apocalyptic number.

806975 is a deficient number, since it is larger than the sum of its proper divisors (282241).

806975 is a wasteful number, since it uses less digits than its factorization.

806975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 806975 is about 898.3178724705. The cubic root of 806975 is about 93.1007887152.

The spelling of 806975 in words is "eight hundred six thousand, nine hundred seventy-five".