4252005 has 24 divisors (see below), whose sum is σ = 7495800. Its totient is φ = 2229120.

The previous prime is 4251971. The next prime is 4252019. The reversal of 4252005 is 5002524.

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 4235364 = 129^2 + 2058^2 .

It is not a de Polignac number, because 4252005 - 2⁸ = 4251749 is a prime.

4252005 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (312325).

Almost surely, 2^4252005 is an apocalyptic number.

4252005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4252005 is a deficient number, since it is larger than the sum of its proper divisors (3243795).

4252005 is a wasteful number, since it uses less digits than its factorization.

4252005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4252005 is about 2062.0390393977. The cubic root of 4252005 is about 162.0060583011.

Adding to 4252005 its reverse (5002524), we get a palindrome (9254529).

The spelling of 4252005 in words is "four million, two hundred fifty-two thousand, five".