2538617 has 2 divisors, whose sum is σ = 2538618. Its totient is φ = 2538616.

The previous prime is 2538589. The next prime is 2538619. The reversal of 2538617 is 7168352.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 1229881 = 1144^2 + 1109^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538617 - 2¹⁰ = 2537593 is a prime.

It is a super-3 number, since 3×2538617³ = 49080932650934793339, which contains 333 as substring.

Together with 2538619, 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 (2538619) 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, 1269308 + 1269309.

It is an arithmetic number, because the mean of its divisors is an integer number (1269309).

2^2538617 is an apocalyptic number.

It is an amenable number.

2538617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538617 is an equidigital number, since it uses as much as digits as its factorization.

2538617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 32.

The square root of 2538617 is about 1593.3038002842. The cubic root of 2538617 is about 136.4161309944.

The spelling of 2538617 in words is "two million, five hundred thirty-eight thousand, six hundred seventeen".