1815201 has 12 divisors (see below), whose sum is σ = 2642640. Its totient is φ = 1200600.

The previous prime is 1815199. The next prime is 1815217. The reversal of 1815201 is 1025181.

1815201 = 38² + 39² + ... + 176².

It is not a de Polignac number, because 1815201 - 2¹ = 1815199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1815221) 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 11 ways as a sum of consecutive naturals, for example, 526 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (220220).

2^1815201 is an apocalyptic number.

It is an amenable number.

1815201 is a deficient number, since it is larger than the sum of its proper divisors (827439).

1815201 is a wasteful number, since it uses less digits than its factorization.

1815201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1815201 is about 1347.2939545623. The cubic root of 1815201 is about 121.9855084462.

It can be divided in two parts, 1815 and 201, that added together give a triangular number (2016 = T₆₃).

The spelling of 1815201 in words is "one million, eight hundred fifteen thousand, two hundred one".