78017 has 2 divisors, whose sum is σ = 78018. Its totient is φ = 78016.

The previous prime is 78007. The next prime is 78031. The reversal of 78017 is 71087.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39601 + 38416 = 199^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 78017 - 2⁸ = 77761 is a prime.

It is a Chen prime.

It is equal to p₇₆₆₄ and since 78017 and 7664 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 77983 and 78001.

It is not a weakly prime, because it can be changed into another prime (78007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39008 + 39009.

It is an arithmetic number, because the mean of its divisors is an integer number (39009).

2⁷⁸⁰¹⁷ is an apocalyptic number.

It is an amenable number.

78017 is a deficient number, since it is larger than the sum of its proper divisors (1).

78017 is an equidigital number, since it uses as much as digits as its factorization.

78017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 78017 is about 279.3152340994. The cubic root of 78017 is about 42.7296906598.

It can be divided in two parts, 780 and 17, that added together give a palindrome (797).

The spelling of 78017 in words is "seventy-eight thousand, seventeen".