77412121 has 2 divisors, whose sum is σ = 77412122. Its totient is φ = 77412120.

The previous prime is 77412091. The next prime is 77412151. The reversal of 77412121 is 12121477.

It is a balanced prime because it is at equal distance from previous prime (77412091) and next prime (77412151).

It can be written as a sum of positive squares in only one way, i.e., 51768025 + 25644096 = 7195^2 + 5064^2 .

It is an emirp because it is prime and its reverse (12121477) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77412121 is a prime.

It is not a weakly prime, because it can be changed into another prime (77412151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38706060 + 38706061.

It is an arithmetic number, because the mean of its divisors is an integer number (38706061).

Almost surely, 2^77412121 is an apocalyptic number.

It is an amenable number.

77412121 is a deficient number, since it is larger than the sum of its proper divisors (1).

77412121 is an equidigital number, since it uses as much as digits as its factorization.

77412121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 784, while the sum is 25.

The square root of 77412121 is about 8798.4158233173. The cubic root of 77412121 is about 426.1897385591.

Adding to 77412121 its reverse (12121477), we get a palindrome (89533598).

The spelling of 77412121 in words is "seventy-seven million, four hundred twelve thousand, one hundred twenty-one".