77734133 has 2 divisors, whose sum is σ = 77734134. Its totient is φ = 77734132.

The previous prime is 77734103. The next prime is 77734147. The reversal of 77734133 is 33143777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50098084 + 27636049 = 7078^2 + 5257^2 .

It is an emirp because it is prime and its reverse (33143777) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77734133 - 2¹⁴ = 77717749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77734093 and 77734102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77734103) 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, 38867066 + 38867067.

It is an arithmetic number, because the mean of its divisors is an integer number (38867067).

Almost surely, 2^77734133 is an apocalyptic number.

It is an amenable number.

77734133 is a deficient number, since it is larger than the sum of its proper divisors (1).

77734133 is an equidigital number, since it uses as much as digits as its factorization.

77734133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37044, while the sum is 35.

The square root of 77734133 is about 8816.6962633404. The cubic root of 77734133 is about 426.7798630187.

The spelling of 77734133 in words is "seventy-seven million, seven hundred thirty-four thousand, one hundred thirty-three".