815201 has 8 divisors (see below), whose sum is σ = 875520. Its totient is φ = 756288.

The previous prime is 815197. The next prime is 815209. The reversal of 815201 is 102518.

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 815201 - 2² = 815197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 815201.

It is not an unprimeable number, because it can be changed into a prime (815209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (109440).

2⁸¹⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

815201 is a deficient number, since it is larger than the sum of its proper divisors (60319).

815201 is a wasteful number, since it uses less digits than its factorization.

815201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 815201 is about 902.8848210043. The cubic root of 815201 is about 93.4160646832.

Adding to 815201 its reverse (102518), we get a palindrome (917719).

The spelling of 815201 in words is "eight hundred fifteen thousand, two hundred one".