1006005 has 64 divisors (see below), whose sum is σ = 2193408. Its totient is φ = 380160.

The previous prime is 1006003. The next prime is 1006007. The reversal of 1006005 is 5006001.

1006005 = 88² + 89² + ... + 154².

It is an interprime number because it is at equal distance from previous prime (1006003) and next prime (1006007).

It is not a de Polignac number, because 1006005 - 2¹ = 1006003 is a prime.

It is a Curzon number.

1006005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006003) 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 63 ways as a sum of consecutive naturals, for example, 14982 + ... + 15048.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2^1006005 is an apocalyptic number.

1006005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006005 is an abundant number, since it is smaller than the sum of its proper divisors (1187403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006005 is a wasteful number, since it uses less digits than its factorization.

1006005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1006005 is about 1002.9980059801. The cubic root of 1006005 is about 100.1997673311.

It can be divided in two parts, 100 and 6005, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 1006005 in words is "one million, six thousand, five".