1249 has 2 divisors, whose sum is σ = 1250. Its totient is φ = 1248.

The previous prime is 1237. The next prime is 1259. The reversal of 1249 is 9421.

1249 is nontrivially palindromic in base 3.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1024 + 225 = 32^2 + 15^2 .

It is an emirp because it is prime and its reverse (9421) is a distict prime.

It is a cyclic number.

It is a trimorphic number since its cube, 1948441249, ends in 1249.

It is not a de Polignac number, because 1249 - 2⁵ = 1217 is a prime.

1249 is a lucky number.

It is a plaindrome in base 5 and base 10.

It is a nialpdrome in base 6, base 12, base 13 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 624 + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (625).

It is an amenable number.

1249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1249 is an equidigital number, since it uses as much as digits as its factorization.

1249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 1249 is about 35.3411940941. The cubic root of 1249 is about 10.7693001042.

The spelling of 1249 in words is "one thousand, two hundred forty-nine".