17749 has 2 divisors, whose sum is σ = 17750. Its totient is φ = 17748.

The previous prime is 17747. The next prime is 17761. The reversal of 17749 is 94771.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 6724 = 105^2 + 82^2 .

It is an emirp because it is prime and its reverse (94771) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 17749 - 2¹ = 17747 is a prime.

Together with 17747, it forms a pair of twin primes.

17749 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17747) 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, 8874 + 8875.

It is an arithmetic number, because the mean of its divisors is an integer number (8875).

2¹⁷⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

17749 is a deficient number, since it is larger than the sum of its proper divisors (1).

17749 is an equidigital number, since it uses as much as digits as its factorization.

17749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 28.

The square root of 17749 is about 133.2253729588. The cubic root of 17749 is about 26.0850273533.

It can be divided in two parts, 1 and 7749, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 17749 in words is "seventeen thousand, seven hundred forty-nine".