812007 has 12 divisors (see below), whose sum is σ = 1340560. Its totient is φ = 463968.

The previous prime is 811997. The next prime is 812011. The reversal of 812007 is 700218.

It is not a de Polignac number, because 812007 - 2⁴ = 811991 is a prime.

It is a Duffinian number.

812007 is a lucky number.

It is a zygodrome in base 2.

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 812007.

It is not an unprimeable number, because it can be changed into a prime (812047) 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, 6382 + ... + 6507.

2⁸¹²⁰⁰⁷ is an apocalyptic number.

812007 is a deficient number, since it is larger than the sum of its proper divisors (528553).

812007 is a wasteful number, since it uses less digits than its factorization.

812007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12902 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 812007 is about 901.1143101738. The cubic root of 812007 is about 93.2939019942.

The spelling of 812007 in words is "eight hundred twelve thousand, seven".