77584121 has 2 divisors, whose sum is σ = 77584122. Its totient is φ = 77584120.

The previous prime is 77584097. The next prime is 77584123. The reversal of 77584121 is 12148577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74304400 + 3279721 = 8620^2 + 1811^2 .

It is a cyclic number.

It is not a de Polignac number, because 77584121 - 2¹⁸ = 77321977 is a prime.

Together with 77584123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (77584123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38792060 + 38792061.

It is an arithmetic number, because the mean of its divisors is an integer number (38792061).

Almost surely, 2^77584121 is an apocalyptic number.

It is an amenable number.

77584121 is a deficient number, since it is larger than the sum of its proper divisors (1).

77584121 is an equidigital number, since it uses as much as digits as its factorization.

77584121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15680, while the sum is 35.

The square root of 77584121 is about 8808.1848867971. The cubic root of 77584121 is about 426.5051517432.

The spelling of 77584121 in words is "seventy-seven million, five hundred eighty-four thousand, one hundred twenty-one".