45081 has 6 divisors (see below), whose sum is σ = 65130. Its totient is φ = 30048.

The previous prime is 45077. The next prime is 45083. The reversal of 45081 is 18054.

45081 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 7056 = 195^2 + 84^2 .

It is not a de Polignac number, because 45081 - 2² = 45077 is a prime.

It is a super-2 number, since 2×45081² = 4064593122, which contains 22 as substring.

45081 is a modest number, since divided by 81 gives 45 as remainder.

It is a Curzon number.

45081 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (45083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2496 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (10855).

2⁴⁵⁰⁸¹ is an apocalyptic number.

It is an amenable number.

45081 is a deficient number, since it is larger than the sum of its proper divisors (20049).

45081 is a wasteful number, since it uses less digits than its factorization.

45081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45081 is about 212.3228673506. The cubic root of 45081 is about 35.5902616127.

The spelling of 45081 in words is "forty-five thousand, eighty-one".