45909 has 6 divisors (see below), whose sum is σ = 66326. Its totient is φ = 30600.

The previous prime is 45893. The next prime is 45943. The reversal of 45909 is 90954.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 22500 = 153^2 + 150^2 .

It is not a de Polignac number, because 45909 - 2⁴ = 45893 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45949) 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, 2542 + ... + 2559.

2⁴⁵⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

45909 is a deficient number, since it is larger than the sum of its proper divisors (20417).

45909 is a wasteful number, since it uses less digits than its factorization.

45909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 45909 is about 214.2638560280. The cubic root of 45909 is about 35.8068357680.

The spelling of 45909 in words is "forty-five thousand, nine hundred nine".