45309 has 8 divisors (see below), whose sum is σ = 65952. Its totient is φ = 27440.

The previous prime is 45307. The next prime is 45317. The reversal of 45309 is 90354.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45309 - 2¹ = 45307 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45309.

It is not an unprimeable number, because it can be changed into a prime (45307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (8244).

2⁴⁵³⁰⁹ is an apocalyptic number.

It is an amenable number.

45309 is a deficient number, since it is larger than the sum of its proper divisors (20643).

45309 is a wasteful number, since it uses less digits than its factorization.

45309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 45309 is about 212.8591083322. The cubic root of 45309 is about 35.6501607421.

The spelling of 45309 in words is "forty-five thousand, three hundred nine".