45181 has 2 divisors, whose sum is σ = 45182. Its totient is φ = 45180.

The previous prime is 45179. The next prime is 45191. The reversal of 45181 is 18154.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 17956 = 165^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 45181 - 2¹ = 45179 is a prime.

It is a super-2 number, since 2×45181² = 4082645522, which contains 22 as substring.

Together with 45179, it forms a pair of twin primes.

It is a Chen prime.

45181 is a lucky number.

It is equal to p₄₆₉₀ and since 45181 and 4690 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22590 + 22591.

It is an arithmetic number, because the mean of its divisors is an integer number (22591).

2⁴⁵¹⁸¹ is an apocalyptic number.

It is an amenable number.

45181 is a deficient number, since it is larger than the sum of its proper divisors (1).

45181 is an equidigital number, since it uses as much as digits as its factorization.

45181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 19.

The square root of 45181 is about 212.5582273167. The cubic root of 45181 is about 35.6165579668.

The spelling of 45181 in words is "forty-five thousand, one hundred eighty-one".