815801 has 6 divisors (see below), whose sum is σ = 949050. Its totient is φ = 699216.

The previous prime is 815729. The next prime is 815809. The reversal of 815801 is 108518.

It can be written as a sum of positive squares in only one way, i.e., 765625 + 50176 = 875^2 + 224^2 .

It is not a de Polignac number, because 815801 - 2¹⁴ = 799417 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (815809) 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 5 ways as a sum of consecutive naturals, for example, 8276 + ... + 8373.

It is an arithmetic number, because the mean of its divisors is an integer number (158175).

2⁸¹⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

815801 is a deficient number, since it is larger than the sum of its proper divisors (133249).

815801 is a wasteful number, since it uses less digits than its factorization.

815801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16663 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 815801 is about 903.2170281831. The cubic root of 815801 is about 93.4389775981.

The spelling of 815801 in words is "eight hundred fifteen thousand, eight hundred one".