73517 has 2 divisors, whose sum is σ = 73518. Its totient is φ = 73516.

The previous prime is 73483. The next prime is 73523. The reversal of 73517 is 71537.

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., 72361 + 1156 = 269^2 + 34^2 .

It is an emirp because it is prime and its reverse (71537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73517 - 2⁶ = 73453 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 73492 and 73501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73547) 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, 36758 + 36759.

It is an arithmetic number, because the mean of its divisors is an integer number (36759).

2⁷³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

73517 is a deficient number, since it is larger than the sum of its proper divisors (1).

73517 is an equidigital number, since it uses as much as digits as its factorization.

73517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 735, while the sum is 23.

The square root of 73517 is about 271.1401851441. The cubic root of 73517 is about 41.8918228983.

The spelling of 73517 in words is "seventy-three thousand, five hundred seventeen".