77137 has 2 divisors, whose sum is σ = 77138. Its totient is φ = 77136.

The previous prime is 77101. The next prime is 77141. The reversal of 77137 is 73177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 961 = 276^2 + 31^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77137 is a prime.

77137 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (77167) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38568 + 38569.

It is an arithmetic number, because the mean of its divisors is an integer number (38569).

2⁷⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

77137 is a deficient number, since it is larger than the sum of its proper divisors (1).

77137 is an equidigital number, since it uses as much as digits as its factorization.

77137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1029, while the sum is 25.

The square root of 77137 is about 277.7354856694. The cubic root of 77137 is about 42.5684249555.

It can be divided in two parts, 771 and 37, that added together give a palindrome (808).

The spelling of 77137 in words is "seventy-seven thousand, one hundred thirty-seven".