45609 has 8 divisors (see below), whose sum is σ = 63552. Its totient is φ = 29040.

The previous prime is 45599. The next prime is 45613. The reversal of 45609 is 90654.

45609 = T₆₂ + T₆₃ + ... + T₇₉.

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

It is not a de Polignac number, because 45609 - 2⁷ = 45481 is a prime.

It is a plaindrome in base 12 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45609.

It is not an unprimeable number, because it can be changed into a prime (45659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (7944).

2⁴⁵⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

45609 is a deficient number, since it is larger than the sum of its proper divisors (17943).

45609 is a wasteful number, since it uses less digits than its factorization.

45609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 45609 is about 213.5626371817. The cubic root of 45609 is about 35.7286700153.

The spelling of 45609 in words is "forty-five thousand, six hundred nine".