77963201 has 2 divisors, whose sum is σ = 77963202. Its totient is φ = 77963200.

The previous prime is 77963191. The next prime is 77963203. The reversal of 77963201 is 10236977.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73017025 + 4946176 = 8545^2 + 2224^2 .

It is an emirp because it is prime and its reverse (10236977) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77963201 is a prime.

Together with 77963203, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_4557545 and since 77963201 and 4557545 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (77963203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38981600 + 38981601.

It is an arithmetic number, because the mean of its divisors is an integer number (38981601).

Almost surely, 2^77963201 is an apocalyptic number.

It is an amenable number.

77963201 is a deficient number, since it is larger than the sum of its proper divisors (1).

77963201 is an equidigital number, since it uses as much as digits as its factorization.

77963201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 77963201 is about 8829.6772874211. The cubic root of 77963201 is about 427.1986654778.

The spelling of 77963201 in words is "seventy-seven million, nine hundred sixty-three thousand, two hundred one".