45385 has 8 divisors (see below), whose sum is σ = 56520. Its totient is φ = 34944.

The previous prime is 45377. The next prime is 45389. The reversal of 45385 is 58354.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 45369 = 4^2 + 213^2 .

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 45385 - 2³ = 45377 is a prime.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (45389) 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, 12 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (7065).

2⁴⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

45385 is a deficient number, since it is larger than the sum of its proper divisors (11135).

45385 is a wasteful number, since it uses less digits than its factorization.

45385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its digits is 2400, while the sum is 25.

The square root of 45385 is about 213.0375553746. The cubic root of 45385 is about 35.6700824554.

The spelling of 45385 in words is "forty-five thousand, three hundred eighty-five".