1005741 has 12 divisors (see below), whose sum is σ = 1584960. Its totient is φ = 609480.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005741 is 1475001.

It is not a de Polignac number, because 1005741 - 2⁵ = 1005709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4981 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

2^1005741 is an apocalyptic number.

1005741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005741 is a deficient number, since it is larger than the sum of its proper divisors (579219).

1005741 is a wasteful number, since it uses less digits than its factorization.

1005741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1005741 is about 1002.8663918987. The cubic root of 1005741 is about 100.1910016182.

The spelling of 1005741 in words is "one million, five thousand, seven hundred forty-one".