52249 has 2 divisors, whose sum is σ = 52250. Its totient is φ = 52248.

The previous prime is 52237. The next prime is 52253. The reversal of 52249 is 94225.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 24025 = 168^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 52249 - 2⁷ = 52121 is a prime.

It is a Chen prime.

52249 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (52259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26124 + 26125.

It is an arithmetic number, because the mean of its divisors is an integer number (26125).

2⁵²²⁴⁹ is an apocalyptic number.

It is an amenable number.

52249 is a deficient number, since it is larger than the sum of its proper divisors (1).

52249 is an equidigital number, since it uses as much as digits as its factorization.

52249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 52249 is about 228.5804016096. The cubic root of 52249 is about 37.3845933473.

Subtracting from 52249 its product of digits (720), we obtain a square (51529 = 227²).

The spelling of 52249 in words is "fifty-two thousand, two hundred forty-nine".