3259 has 2 divisors, whose sum is σ = 3260. Its totient is φ = 3258.

The previous prime is 3257. The next prime is 3271. The reversal of 3259 is 9523.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3259 - 2¹ = 3257 is a prime.

Together with 3257, it forms a pair of twin primes.

It is a Chen prime.

3259 is a lucky number.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 9, base 15 and base 16.

It is not a weakly prime, because it can be changed into another prime (3251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1629 + 1630.

It is an arithmetic number, because the mean of its divisors is an integer number (1630).

3259 is a deficient number, since it is larger than the sum of its proper divisors (1).

3259 is an equidigital number, since it uses as much as digits as its factorization.

3259 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 19.

The square root of 3259 is about 57.0876519048. The cubic root of 3259 is about 14.8261407989.

Subtracting from 3259 its sum of digits (19), we obtain a triangular number (3240 = T₈₀).

It can be divided in two parts, 32 and 59, that added together give a triangular number (91 = T₁₃).

The spelling of 3259 in words is "three thousand, two hundred fifty-nine".