77264101 has 2 divisors, whose sum is σ = 77264102. Its totient is φ = 77264100.

The previous prime is 77264081. The next prime is 77264141. The reversal of 77264101 is 10146277.

It is a Cunningham number, because it is equal to 8790²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77264100 + 1 = 8790^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 77264101 - 2¹³ = 77255909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77264101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77264141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38632050 + 38632051.

It is an arithmetic number, because the mean of its divisors is an integer number (38632051).

Almost surely, 2^77264101 is an apocalyptic number.

It is an amenable number.

77264101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77264101 is an equidigital number, since it uses as much as digits as its factorization.

77264101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 77264101 is about 8790.0000568828. Note that the first 4 decimals coincide. The cubic root of 77264101 is about 425.9179255874.

The spelling of 77264101 in words is "seventy-seven million, two hundred sixty-four thousand, one hundred one".