77492641 has 2 divisors, whose sum is σ = 77492642. Its totient is φ = 77492640.

The previous prime is 77492629. The next prime is 77492651. The reversal of 77492641 is 14629477.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44957025 + 32535616 = 6705^2 + 5704^2 .

It is an emirp because it is prime and its reverse (14629477) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77492641 - 2⁵ = 77492609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77492594 and 77492603.

It is not a weakly prime, because it can be changed into another prime (77492651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38746320 + 38746321.

It is an arithmetic number, because the mean of its divisors is an integer number (38746321).

Almost surely, 2^77492641 is an apocalyptic number.

77492641 is the 5568-th centered pentagonal number.

It is an amenable number.

77492641 is a deficient number, since it is larger than the sum of its proper divisors (1).

77492641 is an equidigital number, since it uses as much as digits as its factorization.

77492641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 40.

The square root of 77492641 is about 8802.9904577933. The cubic root of 77492641 is about 426.3374540417.

The spelling of 77492641 in words is "seventy-seven million, four hundred ninety-two thousand, six hundred forty-one".