45359 has 4 divisors (see below), whose sum is σ = 46104. Its totient is φ = 44616.

The previous prime is 45343. The next prime is 45361. The reversal of 45359 is 95354.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 45359 - 2⁴ = 45343 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (11526).

2⁴⁵³⁵⁹ is an apocalyptic number.

45359 is a deficient number, since it is larger than the sum of its proper divisors (745).

45359 is an equidigital number, since it uses as much as digits as its factorization.

45359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its digits is 2700, while the sum is 26.

The square root of 45359 is about 212.9765245279. The cubic root of 45359 is about 35.6632696370.

It can be divided in two parts, 453 and 59, that added together give a 9-th power (512 = 2⁹).

The spelling of 45359 in words is "forty-five thousand, three hundred fifty-nine".