77617 has 2 divisors, whose sum is σ = 77618. Its totient is φ = 77616.

The previous prime is 77611. The next prime is 77621. The reversal of 77617 is 71677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 7921 = 264^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 77617 - 2⁷ = 77489 is a prime.

It is a Chen prime.

77617 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (77611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38808 + 38809.

It is an arithmetic number, because the mean of its divisors is an integer number (38809).

2⁷⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

77617 is a deficient number, since it is larger than the sum of its proper divisors (1).

77617 is an equidigital number, since it uses as much as digits as its factorization.

77617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2058, while the sum is 28.

The square root of 77617 is about 278.5982770945. The cubic root of 77617 is about 42.6565392087.

The spelling of 77617 in words is "seventy-seven thousand, six hundred seventeen".