3201257 has 2 divisors, whose sum is σ = 3201258. Its totient is φ = 3201256.

The previous prime is 3201251. The next prime is 3201259. The reversal of 3201257 is 7521023.

3201257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2446096 + 755161 = 1564^2 + 869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3201257 is a prime.

Together with 3201259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600628 + 1600629.

It is an arithmetic number, because the mean of its divisors is an integer number (1600629).

Almost surely, 2^3201257 is an apocalyptic number.

It is an amenable number.

3201257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3201257 is an equidigital number, since it uses as much as digits as its factorization.

3201257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 3201257 is about 1789.2056896847. The cubic root of 3201257 is about 147.3805525347.

The spelling of 3201257 in words is "three million, two hundred one thousand, two hundred fifty-seven".