4188257 has 2 divisors, whose sum is σ = 4188258. Its totient is φ = 4188256.

The previous prime is 4188221. The next prime is 4188259. The reversal of 4188257 is 7528814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2572816 + 1615441 = 1604^2 + 1271^2 .

It is a cyclic number.

It is not a de Polignac number, because 4188257 - 2¹⁰ = 4187233 is a prime.

Together with 4188259, 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 (4188259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2094128 + 2094129.

It is an arithmetic number, because the mean of its divisors is an integer number (2094129).

Almost surely, 2^4188257 is an apocalyptic number.

It is an amenable number.

4188257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4188257 is an equidigital number, since it uses as much as digits as its factorization.

4188257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17920, while the sum is 35.

The square root of 4188257 is about 2046.5231491483. The cubic root of 4188257 is about 161.1923552540.

The spelling of 4188257 in words is "four million, one hundred eighty-eight thousand, two hundred fifty-seven".