1005201 has 12 divisors (see below), whose sum is σ = 1474512. Its totient is φ = 659736.

The previous prime is 1005187. The next prime is 1005203. The reversal of 1005201 is 1025001.

It is a happy number.

It is not a de Polignac number, because 1005201 - 2⁷ = 1005073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1005203) 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, 231 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (122876).

2^1005201 is an apocalyptic number.

It is an amenable number.

1005201 is a deficient number, since it is larger than the sum of its proper divisors (469311).

1005201 is a wasteful number, since it uses less digits than its factorization.

1005201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1005201 is about 1002.5971274645. The cubic root of 1005201 is about 100.1730669721.

The spelling of 1005201 in words is "one million, five thousand, two hundred one".