77064101 has 2 divisors, whose sum is σ = 77064102. Its totient is φ = 77064100.

The previous prime is 77064083. The next prime is 77064103. The reversal of 77064101 is 10146077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76300225 + 763876 = 8735^2 + 874^2 .

It is an emirp because it is prime and its reverse (10146077) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77064101 - 2⁶ = 77064037 is a prime.

Together with 77064103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77064103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38532050 + 38532051.

It is an arithmetic number, because the mean of its divisors is an integer number (38532051).

Almost surely, 2^77064101 is an apocalyptic number.

It is an amenable number.

77064101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77064101 is an equidigital number, since it uses as much as digits as its factorization.

77064101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 77064101 is about 8778.6161210068. The cubic root of 77064101 is about 425.5501084087.

The spelling of 77064101 in words is "seventy-seven million, sixty-four thousand, one hundred one".