800661 has 8 divisors (see below), whose sum is σ = 1104480. Its totient is φ = 515312.

The previous prime is 800659. The next prime is 800663. The reversal of 800661 is 166008.

800661 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800659) and next prime (800663).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 800661 - 2¹ = 800659 is a prime.

800661 is strictly pandigital in base 7.

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 800661.

It is not an unprimeable number, because it can be changed into a prime (800663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4515 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (138060).

2⁸⁰⁰⁶⁶¹ is an apocalyptic number.

It is an amenable number.

800661 is a deficient number, since it is larger than the sum of its proper divisors (303819).

800661 is a wasteful number, since it uses less digits than its factorization.

800661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 800661 is about 894.7966249378. The cubic root of 800661 is about 92.8573370523.

Adding to 800661 its reverse (166008), we get a palindrome (966669).

The spelling of 800661 in words is "eight hundred thousand, six hundred sixty-one".