77752097 has 2 divisors, whose sum is σ = 77752098. Its totient is φ = 77752096.

The previous prime is 77752079. The next prime is 77752111. The reversal of 77752097 is 79025777.

Together with previous prime (77752079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74926336 + 2825761 = 8656^2 + 1681^2 .

It is a cyclic number.

It is not a de Polignac number, because 77752097 - 2⁸ = 77751841 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77758097) 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, 38876048 + 38876049.

It is an arithmetic number, because the mean of its divisors is an integer number (38876049).

Almost surely, 2^77752097 is an apocalyptic number.

It is an amenable number.

77752097 is a deficient number, since it is larger than the sum of its proper divisors (1).

77752097 is an equidigital number, since it uses as much as digits as its factorization.

77752097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216090, while the sum is 44.

The square root of 77752097 is about 8817.7149534332. The cubic root of 77752097 is about 426.8127361066.

The spelling of 77752097 in words is "seventy-seven million, seven hundred fifty-two thousand, ninety-seven".