1759 has 2 divisors, whose sum is σ = 1760. Its totient is φ = 1758.

The previous prime is 1753. The next prime is 1777. The reversal of 1759 is 9571.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1759 is a prime.

It is a Chen prime.

It is a plaindrome in base 8, base 11 and base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 879 + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (880).

1759 is a deficient number, since it is larger than the sum of its proper divisors (1).

1759 is an equidigital number, since it uses as much as digits as its factorization.

1759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 22.

The square root of 1759 is about 41.9404339510. The cubic root of 1759 is about 12.0713343696.

Subtracting from 1759 its product of digits (315), we obtain a square (1444 = 38²).

The spelling of 1759 in words is "one thousand, seven hundred fifty-nine".