77632001 has 2 divisors, whose sum is σ = 77632002. Its totient is φ = 77632000.

The previous prime is 77631991. The next prime is 77632003. The reversal of 77632001 is 10023677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51825601 + 25806400 = 7199^2 + 5080^2 .

It is a cyclic number.

It is not a de Polignac number, because 77632001 - 2⁶ = 77631937 is a prime.

It is a Sophie Germain prime.

Together with 77632003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (77632003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38816000 + 38816001.

It is an arithmetic number, because the mean of its divisors is an integer number (38816001).

Almost surely, 2^77632001 is an apocalyptic number.

It is an amenable number.

77632001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77632001 is an equidigital number, since it uses as much as digits as its factorization.

77632001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 77632001 is about 8810.9023941932. The cubic root of 77632001 is about 426.5928710126.

Adding to 77632001 its reverse (10023677), we get a palindrome (87655678).

The spelling of 77632001 in words is "seventy-seven million, six hundred thirty-two thousand, one".