77117441 has 2 divisors, whose sum is σ = 77117442. Its totient is φ = 77117440.

The previous prime is 77117401. The next prime is 77117471. The reversal of 77117441 is 14471177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76300225 + 817216 = 8735^2 + 904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77117441 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 77117398 and 77117407.

It is not a weakly prime, because it can be changed into another prime (77117401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38558720 + 38558721.

It is an arithmetic number, because the mean of its divisors is an integer number (38558721).

Almost surely, 2^77117441 is an apocalyptic number.

It is an amenable number.

77117441 is a deficient number, since it is larger than the sum of its proper divisors (1).

77117441 is an equidigital number, since it uses as much as digits as its factorization.

77117441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5488, while the sum is 32.

The square root of 77117441 is about 8781.6536597614. The cubic root of 77117441 is about 425.6482674196.

The spelling of 77117441 in words is "seventy-seven million, one hundred seventeen thousand, four hundred forty-one".