1006057 has 6 divisors (see below), whose sum is σ = 1089582. Its totient is φ = 928512.

The previous prime is 1006037. The next prime is 1006063. The reversal of 1006057 is 7506001.

It can be written as a sum of positive squares in 3 ways, for example, as 114921 + 891136 = 339^2 + 944^2 .

It is not a de Polignac number, because 1006057 - 2¹⁵ = 973289 is a prime.

1006057 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1006007) 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 5 ways as a sum of consecutive naturals, for example, 2808 + ... + 3145.

It is an arithmetic number, because the mean of its divisors is an integer number (181597).

2^1006057 is an apocalyptic number.

It is an amenable number.

1006057 is a deficient number, since it is larger than the sum of its proper divisors (83525).

1006057 is an equidigital number, since it uses as much as digits as its factorization.

1006057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5966 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1006057 is about 1003.0239279299. The cubic root of 1006057 is about 100.2014937301.

The spelling of 1006057 in words is "one million, six thousand, fifty-seven".