3257 has 2 divisors, whose sum is σ = 3258. Its totient is φ = 3256.

The previous prime is 3253. The next prime is 3259. The reversal of 3257 is 7523.

3257 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 121 = 56^2 + 11^2 .

It is an emirp because it is prime and its reverse (7523) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3257 - 2² = 3253 is a prime.

Together with 3259, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁴ + 5⁵ + 2 + 7² .

It is a plaindrome in base 14.

It is a nialpdrome in base 15 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3257.

It is not a weakly prime, because it can be changed into another prime (3251) 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, 1628 + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (1629).

2³²⁵⁷ is an apocalyptic number.

It is an amenable number.

3257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3257 is an equidigital number, since it uses as much as digits as its factorization.

3257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 17.

The square root of 3257 is about 57.0701322935. The cubic root of 3257 is about 14.8231073173.

Subtracting from 3257 its sum of digits (17), we obtain a triangular number (3240 = T₈₀).

The spelling of 3257 in words is "three thousand, two hundred fifty-seven".