45281 has 2 divisors, whose sum is σ = 45282. Its totient is φ = 45280.

The previous prime is 45263. The next prime is 45289. The reversal of 45281 is 18254.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 1600 = 209^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 45281 - 2¹⁰ = 44257 is a prime.

It is a super-2 number, since 2×45281² = 4100737922, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is not a weakly prime, because it can be changed into another prime (45289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22640 + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (22641).

2⁴⁵²⁸¹ is an apocalyptic number.

It is an amenable number.

45281 is a deficient number, since it is larger than the sum of its proper divisors (1).

45281 is an equidigital number, since it uses as much as digits as its factorization.

45281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 320, while the sum is 20.

The square root of 45281 is about 212.7933269630. The cubic root of 45281 is about 35.6428155480.

The spelling of 45281 in words is "forty-five thousand, two hundred eighty-one".