252641 has 2 divisors, whose sum is σ = 252642. Its totient is φ = 252640.

The previous prime is 252617. The next prime is 252667. The reversal of 252641 is 146252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144400 + 108241 = 380^2 + 329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252641 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126320 + 126321.

It is an arithmetic number, because the mean of its divisors is an integer number (126321).

2²⁵²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

252641 is a deficient number, since it is larger than the sum of its proper divisors (1).

252641 is an equidigital number, since it uses as much as digits as its factorization.

252641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 480, while the sum is 20.

The square root of 252641 is about 502.6340617189. The cubic root of 252641 is about 63.2171060089.

Adding to 252641 its reverse (146252), we get a palindrome (398893).

The spelling of 252641 in words is "two hundred fifty-two thousand, six hundred forty-one".