56249 has 2 divisors, whose sum is σ = 56250. Its totient is φ = 56248.

The previous prime is 56239. The next prime is 56263. The reversal of 56249 is 94265.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 1024 = 235^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 56249 - 2¹² = 52153 is a prime.

It is a Chen prime.

It is a plaindrome in base 6 and base 15.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (56209) 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, 28124 + 28125.

It is an arithmetic number, because the mean of its divisors is an integer number (28125).

2⁵⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

56249 is a deficient number, since it is larger than the sum of its proper divisors (1).

56249 is an equidigital number, since it uses as much as digits as its factorization.

56249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 56249 is about 237.1687163182. The cubic root of 56249 is about 38.3152445637.

The spelling of 56249 in words is "fifty-six thousand, two hundred forty-nine".