77442137 has 2 divisors, whose sum is σ = 77442138. Its totient is φ = 77442136.

The previous prime is 77442133. The next prime is 77442139. The reversal of 77442137 is 73124477.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44769481 + 32672656 = 6691^2 + 5716^2 .

It is a cyclic number.

It is not a de Polignac number, because 77442137 - 2² = 77442133 is a prime.

Together with 77442139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 77442097 and 77442106.

It is not a weakly prime, because it can be changed into another prime (77442133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38721068 + 38721069.

It is an arithmetic number, because the mean of its divisors is an integer number (38721069).

Almost surely, 2^77442137 is an apocalyptic number.

It is an amenable number.

77442137 is a deficient number, since it is larger than the sum of its proper divisors (1).

77442137 is an equidigital number, since it uses as much as digits as its factorization.

77442137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32928, while the sum is 35.

The square root of 77442137 is about 8800.1214196169. The cubic root of 77442137 is about 426.2448154557.

The spelling of 77442137 in words is "seventy-seven million, four hundred forty-two thousand, one hundred thirty-seven".