252005 has 8 divisors (see below), whose sum is σ = 325752. Its totient is φ = 186048.

The previous prime is 252001. The next prime is 252013. The reversal of 252005 is 500252.

It is a Cunningham number, because it is equal to 502²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 252004 = 1^2 + 502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252005 - 2² = 252001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874 + ... + 2003.

It is an arithmetic number, because the mean of its divisors is an integer number (40719).

252005 is a Friedman number, since it can be written as 502^2+5^0, using all its digits and the basic arithmetic operations.

2²⁵²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

252005 is a deficient number, since it is larger than the sum of its proper divisors (73747).

252005 is a wasteful number, since it uses less digits than its factorization.

252005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 252005 is about 502.0009960149. Note that the first 3 decimals coincide. The cubic root of 252005 is about 63.1640137225.

Adding to 252005 its reverse (500252), we get a palindrome (752257).

The spelling of 252005 in words is "two hundred fifty-two thousand, five".