120817 has 2 divisors, whose sum is σ = 120818. Its totient is φ = 120816.

The previous prime is 120811. The next prime is 120823. The reversal of 120817 is 718021.

It is a balanced prime because it is at equal distance from previous prime (120811) and next prime (120823).

It can be written as a sum of positive squares in only one way, i.e., 112896 + 7921 = 336^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 120817 - 2⁷ = 120689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120794 and 120803.

It is not a weakly prime, because it can be changed into another prime (120811) 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, 60408 + 60409.

It is an arithmetic number, because the mean of its divisors is an integer number (60409).

2¹²⁰⁸¹⁷ is an apocalyptic number.

It is an amenable number.

120817 is a deficient number, since it is larger than the sum of its proper divisors (1).

120817 is an equidigital number, since it uses as much as digits as its factorization.

120817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 120817 is about 347.5873990812. The cubic root of 120817 is about 49.4359270305.

Adding to 120817 its reverse (718021), we get a palindrome (838838).

It can be divided in two parts, 1208 and 17, that added together give a triangular number (1225 = T₄₉).

The spelling of 120817 in words is "one hundred twenty thousand, eight hundred seventeen".