77257241 has 2 divisors, whose sum is σ = 77257242. Its totient is φ = 77257240.

The previous prime is 77257217. The next prime is 77257261. The reversal of 77257241 is 14275277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62473216 + 14784025 = 7904^2 + 3845^2 .

It is a cyclic number.

It is not a de Polignac number, because 77257241 - 2¹⁰ = 77256217 is a prime.

It is not a weakly prime, because it can be changed into another prime (77257261) 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, 38628620 + 38628621.

It is an arithmetic number, because the mean of its divisors is an integer number (38628621).

Almost surely, 2^77257241 is an apocalyptic number.

It is an amenable number.

77257241 is a deficient number, since it is larger than the sum of its proper divisors (1).

77257241 is an equidigital number, since it uses as much as digits as its factorization.

77257241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27440, while the sum is 35.

The square root of 77257241 is about 8789.6098320688. The cubic root of 77257241 is about 425.9053199770.

The spelling of 77257241 in words is "seventy-seven million, two hundred fifty-seven thousand, two hundred forty-one".