75217 has 2 divisors, whose sum is σ = 75218. Its totient is φ = 75216.

The previous prime is 75211. The next prime is 75223. The reversal of 75217 is 71257.

It is a balanced prime because it is at equal distance from previous prime (75211) and next prime (75223).

It can be written as a sum of positive squares in only one way, i.e., 46656 + 28561 = 216^2 + 169^2 .

It is an emirp because it is prime and its reverse (71257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 75217 - 2³ = 75209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (75211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37608 + 37609.

It is an arithmetic number, because the mean of its divisors is an integer number (37609).

2⁷⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

75217 is a deficient number, since it is larger than the sum of its proper divisors (1).

75217 is an equidigital number, since it uses as much as digits as its factorization.

75217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 490, while the sum is 22.

The square root of 75217 is about 274.2571785751. The cubic root of 75217 is about 42.2122662994.

It can be divided in two parts, 75 and 217, that added together give a palindrome (292).

The spelling of 75217 in words is "seventy-five thousand, two hundred seventeen".