45541 has 2 divisors, whose sum is σ = 45542. Its totient is φ = 45540.

The previous prime is 45533. The next prime is 45553. The reversal of 45541 is 14554.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 16641 = 170^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 45541 - 2³ = 45533 is a prime.

45541 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22770 + 22771.

It is an arithmetic number, because the mean of its divisors is an integer number (22771).

2⁴⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

45541 is a deficient number, since it is larger than the sum of its proper divisors (1).

45541 is an equidigital number, since it uses as much as digits as its factorization.

45541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 400, while the sum is 19.

The square root of 45541 is about 213.4033739190. The cubic root of 45541 is about 35.7109048228.

It can be divided in two parts, 455 and 41, that added together give a triangular number (496 = T₃₁).

The spelling of 45541 in words is "forty-five thousand, five hundred forty-one".