77633249 has 2 divisors, whose sum is σ = 77633250. Its totient is φ = 77633248.

The previous prime is 77633243. The next prime is 77633251. The reversal of 77633249 is 94233677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74943649 + 2689600 = 8657^2 + 1640^2 .

It is an emirp because it is prime and its reverse (94233677) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77633249 - 2⁴ = 77633233 is a prime.

Together with 77633251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77633243) 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, 38816624 + 38816625.

It is an arithmetic number, because the mean of its divisors is an integer number (38816625).

Almost surely, 2^77633249 is an apocalyptic number.

It is an amenable number.

77633249 is a deficient number, since it is larger than the sum of its proper divisors (1).

77633249 is an equidigital number, since it uses as much as digits as its factorization.

77633249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 190512, while the sum is 41.

The square root of 77633249 is about 8810.9732152583. The cubic root of 77633249 is about 426.5951569473.

The spelling of 77633249 in words is "seventy-seven million, six hundred thirty-three thousand, two hundred forty-nine".