2036005 has 12 divisors (see below), whose sum is σ = 2597220. Its totient is φ = 1531904.

The previous prime is 2035973. The next prime is 2036009. The reversal of 2036005 is 5006302.

It can be written as a sum of positive squares in 6 ways, for example, as 25281 + 2010724 = 159^2 + 1418^2 .

It is not a de Polignac number, because 2036005 - 2⁵ = 2035973 is a prime.

2036005 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2036005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036009) 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, 741 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (216435).

2^2036005 is an apocalyptic number.

It is an amenable number.

2036005 is a deficient number, since it is larger than the sum of its proper divisors (561215).

2036005 is a wasteful number, since it uses less digits than its factorization.

2036005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2036005 is about 1426.8864706065. The cubic root of 2036005 is about 126.7436704756.

The spelling of 2036005 in words is "two million, thirty-six thousand, five".