1005261 has 16 divisors (see below), whose sum is σ = 1482624. Its totient is φ = 602624.

The previous prime is 1005241. The next prime is 1005269. The reversal of 1005261 is 1625001.

It is a cyclic number.

It is not a de Polignac number, because 1005261 - 2⁵ = 1005229 is a prime.

1005261 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (92664).

2^1005261 is an apocalyptic number.

It is an amenable number.

1005261 is a deficient number, since it is larger than the sum of its proper divisors (477363).

1005261 is a wasteful number, since it uses less digits than its factorization.

1005261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1005261 is about 1002.6270493060. The cubic root of 1005261 is about 100.1750600277.

The spelling of 1005261 in words is "one million, five thousand, two hundred sixty-one".