45817 has 2 divisors, whose sum is σ = 45818. Its totient is φ = 45816.

The previous prime is 45779. The next prime is 45821. The reversal of 45817 is 71854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 1296 = 211^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 45817 - 2¹⁵ = 13049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45791 and 45800.

It is not a weakly prime, because it can be changed into another prime (45827) 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, 22908 + 22909.

It is an arithmetic number, because the mean of its divisors is an integer number (22909).

2⁴⁵⁸¹⁷ is an apocalyptic number.

It is an amenable number.

45817 is a deficient number, since it is larger than the sum of its proper divisors (1).

45817 is an equidigital number, since it uses as much as digits as its factorization.

45817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1120, while the sum is 25.

The square root of 45817 is about 214.0490597970. The cubic root of 45817 is about 35.7829012319.

The spelling of 45817 in words is "forty-five thousand, eight hundred seventeen".