77606101 has 2 divisors, whose sum is σ = 77606102. Its totient is φ = 77606100.

The previous prime is 77606047. The next prime is 77606119. The reversal of 77606101 is 10160677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70980625 + 6625476 = 8425^2 + 2574^2 .

It is a cyclic number.

It is not a de Polignac number, because 77606101 - 2¹¹ = 77604053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77606101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77606171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38803050 + 38803051.

It is an arithmetic number, because the mean of its divisors is an integer number (38803051).

Almost surely, 2^77606101 is an apocalyptic number.

It is an amenable number.

77606101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77606101 is an equidigital number, since it uses as much as digits as its factorization.

77606101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 77606101 is about 8809.4325015860. The cubic root of 77606101 is about 426.5454250103.

Adding to 77606101 its reverse (10160677), we get a palindrome (87766778).

It can be divided in two parts, 7760 and 6101, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 77606101 in words is "seventy-seven million, six hundred six thousand, one hundred one".