800397 has 12 divisors (see below), whose sum is σ = 1245244. Its totient is φ = 492480.

The previous prime is 800357. The next prime is 800399. The reversal of 800397 is 793008.

It is a happy number.

800397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 447561 = 594^2 + 669^2 .

It is not a de Polignac number, because 800397 - 2⁶ = 800333 is a prime.

800397 is a lucky number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 800397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800399) 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, 3304 + ... + 3537.

2⁸⁰⁰³⁹⁷ is an apocalyptic number.

It is an amenable number.

800397 is a deficient number, since it is larger than the sum of its proper divisors (444847).

800397 is a wasteful number, since it uses less digits than its factorization.

800397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 800397 is about 894.6490932204. The cubic root of 800397 is about 92.8471300559.

It can be divided in two parts, 8003 and 97, that added together give a square (8100 = 90²).

The spelling of 800397 in words is "eight hundred thousand, three hundred ninety-seven".