1077657017 has 2 divisors, whose sum is σ = 1077657018. Its totient is φ = 1077657016.

The previous prime is 1077656947. The next prime is 1077657041. The reversal of 1077657017 is 7107567701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 654285241 + 423371776 = 25579^2 + 20576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077657017 - 2¹² = 1077652921 is a prime.

It is a super-2 number, since 2×1077657017² = 2322689292578676578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1077657517) 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, 538828508 + 538828509.

It is an arithmetic number, because the mean of its divisors is an integer number (538828509).

Almost surely, 2^1077657017 is an apocalyptic number.

It is an amenable number.

1077657017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077657017 is an equidigital number, since it uses as much as digits as its factorization.

1077657017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72030, while the sum is 41.

The square root of 1077657017 is about 32827.6867445758. The cubic root of 1077657017 is about 1025.2430966537.

The spelling of 1077657017 in words is "one billion, seventy-seven million, six hundred fifty-seven thousand, seventeen".