77133613 has 2 divisors, whose sum is σ = 77133614. Its totient is φ = 77133612.

The previous prime is 77133593. The next prime is 77133647. The reversal of 77133613 is 31633177.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74615044 + 2518569 = 8638^2 + 1587^2 .

It is an emirp because it is prime and its reverse (31633177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77133613 - 2⁹ = 77133101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77133653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38566806 + 38566807.

It is an arithmetic number, because the mean of its divisors is an integer number (38566807).

Almost surely, 2^77133613 is an apocalyptic number.

It is an amenable number.

77133613 is a deficient number, since it is larger than the sum of its proper divisors (1).

77133613 is an equidigital number, since it uses as much as digits as its factorization.

77133613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7938, while the sum is 31.

The square root of 77133613 is about 8782.5743947888. The cubic root of 77133613 is about 425.6780190234.

It can be divided in two parts, 77 and 133613, that multiplied together give a palindrome (10288201).

The spelling of 77133613 in words is "seventy-seven million, one hundred thirty-three thousand, six hundred thirteen".