125746217 has 2 divisors, whose sum is σ = 125746218. Its totient is φ = 125746216.

The previous prime is 125746189. The next prime is 125746219. The reversal of 125746217 is 712647521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122301481 + 3444736 = 11059^2 + 1856^2 .

It is an emirp because it is prime and its reverse (712647521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125746217 - 2²⁰ = 124697641 is a prime.

It is a super-2 number, since 2×125746217² = 31624222179622178, which contains 22 as substring.

Together with 125746219, 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 (125746219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62873108 + 62873109.

It is an arithmetic number, because the mean of its divisors is an integer number (62873109).

Almost surely, 2^125746217 is an apocalyptic number.

It is an amenable number.

125746217 is a deficient number, since it is larger than the sum of its proper divisors (1).

125746217 is an equidigital number, since it uses as much as digits as its factorization.

125746217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 125746217 is about 11213.6620691012. The cubic root of 125746217 is about 500.9929826654.

It can be divided in two parts, 1257 and 46217, that added together give a palindrome (47474).

The spelling of 125746217 in words is "one hundred twenty-five million, seven hundred forty-six thousand, two hundred seventeen".