1005057 has 12 divisors (see below), whose sum is σ = 1537380. Its totient is φ = 630528.

The previous prime is 1005049. The next prime is 1005071. The reversal of 1005057 is 7505001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 848241 + 156816 = 921^2 + 396^2 .

It is not a de Polignac number, because 1005057 - 2³ = 1005049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005007) 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, 3132 + ... + 3437.

It is an arithmetic number, because the mean of its divisors is an integer number (128115).

2^1005057 is an apocalyptic number.

1005057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1005057 is a deficient number, since it is larger than the sum of its proper divisors (532323).

1005057 is a wasteful number, since it uses less digits than its factorization.

1005057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1005057 is about 1002.5253114012. The cubic root of 1005057 is about 100.1682833151.

The spelling of 1005057 in words is "one million, five thousand, fifty-seven".