71249 has 2 divisors, whose sum is σ = 71250. Its totient is φ = 71248.

The previous prime is 71237. The next prime is 71257. The reversal of 71249 is 94217.

71249 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 1024 = 265^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 71249 - 2⁴ = 71233 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71209) 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, 35624 + 35625.

It is an arithmetic number, because the mean of its divisors is an integer number (35625).

2⁷¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

71249 is a deficient number, since it is larger than the sum of its proper divisors (1).

71249 is an equidigital number, since it uses as much as digits as its factorization.

71249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 71249 is about 266.9250831226. The cubic root of 71249 is about 41.4565277588.

The spelling of 71249 in words is "seventy-one thousand, two hundred forty-nine".