71733611657677 has 2 divisors, whose sum is σ = 71733611657678. Its totient is φ = 71733611657676.

The previous prime is 71733611657663. The next prime is 71733611657681. The reversal of 71733611657677 is 77675611633717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69169062438436 + 2564549219241 = 8316794^2 + 1601421^2 .

It is an emirp because it is prime and its reverse (77675611633717) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71733611657677 is a prime.

It is a super-2 number, since 2×71733611657677² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71733611657657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35866805828838 + 35866805828839.

It is an arithmetic number, because the mean of its divisors is an integer number (35866805828839).

Almost surely, 2^{71733611657677} is an apocalyptic number.

It is an amenable number.

71733611657677 is a deficient number, since it is larger than the sum of its proper divisors (1).

71733611657677 is an equidigital number, since it uses as much as digits as its factorization.

71733611657677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 163364040, while the sum is 67.

The spelling of 71733611657677 in words is "seventy-one trillion, seven hundred thirty-three billion, six hundred eleven million, six hundred fifty-seven thousand, six hundred seventy-seven".