1005801 has 8 divisors (see below), whose sum is σ = 1349280. Its totient is φ = 666432.

The previous prime is 1005761. The next prime is 1005821. The reversal of 1005801 is 1085001.

It is a happy number.

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

It is not a de Polignac number, because 1005801 - 2¹¹ = 1003753 is a prime.

1005801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1005821) 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, 400 + ... + 1473.

It is an arithmetic number, because the mean of its divisors is an integer number (168660).

2^1005801 is an apocalyptic number.

It is an amenable number.

1005801 is a deficient number, since it is larger than the sum of its proper divisors (343479).

1005801 is a wasteful number, since it uses less digits than its factorization.

1005801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1005801 is about 1002.8963057066. The cubic root of 1005801 is about 100.1929939604.

The spelling of 1005801 in words is "one million, five thousand, eight hundred one".