26249 has 2 divisors, whose sum is σ = 26250. Its totient is φ = 26248.

The previous prime is 26237. The next prime is 26251. The reversal of 26249 is 94262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24649 + 1600 = 157^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 26249 - 2¹² = 22153 is a prime.

Together with 26251, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2⁵ + 6⁵ + 2¹¹ + 4⁷ + 9 .

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (26209) 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, 13124 + 13125.

It is an arithmetic number, because the mean of its divisors is an integer number (13125).

2²⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

26249 is a deficient number, since it is larger than the sum of its proper divisors (1).

26249 is an equidigital number, since it uses as much as digits as its factorization.

26249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

The square root of 26249 is about 162.0154313638. The cubic root of 26249 is about 29.7192323672.

The spelling of 26249 in words is "twenty-six thousand, two hundred forty-nine".