125827349 has 2 divisors, whose sum is σ = 125827350. Its totient is φ = 125827348.

The previous prime is 125827321. The next prime is 125827369. The reversal of 125827349 is 943728521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121396324 + 4431025 = 11018^2 + 2105^2 .

It is a cyclic number.

It is not a de Polignac number, because 125827349 - 2²⁴ = 109050133 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125827309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62913674 + 62913675.

It is an arithmetic number, because the mean of its divisors is an integer number (62913675).

Almost surely, 2^125827349 is an apocalyptic number.

It is an amenable number.

125827349 is a deficient number, since it is larger than the sum of its proper divisors (1).

125827349 is an equidigital number, since it uses as much as digits as its factorization.

125827349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 41.

The square root of 125827349 is about 11217.2790372710. The cubic root of 125827349 is about 501.1007071096.

The spelling of 125827349 in words is "one hundred twenty-five million, eight hundred twenty-seven thousand, three hundred forty-nine".