77538289 has 2 divisors, whose sum is σ = 77538290. Its totient is φ = 77538288.

The previous prime is 77538287. The next prime is 77538317. The reversal of 77538289 is 98283577.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44957025 + 32581264 = 6705^2 + 5708^2 .

It is a cyclic number.

It is not a de Polignac number, because 77538289 - 2¹ = 77538287 is a prime.

It is a super-2 number, since 2×77538289² = 12024372522095042, which contains 22 as substring.

Together with 77538287, 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 (77538281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38769144 + 38769145.

It is an arithmetic number, because the mean of its divisors is an integer number (38769145).

Almost surely, 2^77538289 is an apocalyptic number.

It is an amenable number.

77538289 is a deficient number, since it is larger than the sum of its proper divisors (1).

77538289 is an equidigital number, since it uses as much as digits as its factorization.

77538289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 49.

The square root of 77538289 is about 8805.5828313633. The cubic root of 77538289 is about 426.4211507290.

The spelling of 77538289 in words is "seventy-seven million, five hundred thirty-eight thousand, two hundred eighty-nine".