2005182 has 32 divisors (see below), whose sum is σ = 4527360. Its totient is φ = 657720.

The previous prime is 2005181. The next prime is 2005183. The reversal of 2005182 is 2815002.

It is an interprime number because it is at equal distance from previous prime (2005181) and next prime (2005183).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005181) 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, 3573 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (141480).

2^2005182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263680).

2005182 is an abundant number, since it is smaller than the sum of its proper divisors (2522178).

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

2005182 is a wasteful number, since it uses less digits than its factorization.

2005182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2005182 is about 1416.0444908265. The cubic root of 2005182 is about 126.1008263258.

It can be divided in two parts, 2005 and 182, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2005182 in words is "two million, five thousand, one hundred eighty-two".