301806 has 36 divisors (see below), whose sum is σ = 708552. Its totient is φ = 96228.

The previous prime is 301793. The next prime is 301813. The reversal of 301806 is 608103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

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 301806.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13111 + ... + 13133.

It is an arithmetic number, because the mean of its divisors is an integer number (19682).

2³⁰¹⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354276).

301806 is an abundant number, since it is smaller than the sum of its proper divisors (406746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301806 is an frugal number, since it uses more digits than its factorization.

301806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 301806 is about 549.3687286331. The cubic root of 301806 is about 67.0773592235.

Adding to 301806 its reverse (608103), we get a palindrome (909909).

The spelling of 301806 in words is "three hundred one thousand, eight hundred six".