45365 has 8 divisors (see below), whose sum is σ = 55968. Its totient is φ = 35280.

The previous prime is 45361. The next prime is 45377. The reversal of 45365 is 56354.

45365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 45365 - 2² = 45361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45361) 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, 110 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (6996).

45365 is a Friedman number, since it can be written as 35*6^4+5, using all its digits and the basic arithmetic operations.

2⁴⁵³⁶⁵ is an apocalyptic number.

It is an amenable number.

45365 is a deficient number, since it is larger than the sum of its proper divisors (10603).

45365 is a wasteful number, since it uses less digits than its factorization.

45365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its digits is 1800, while the sum is 23.

The square root of 45365 is about 212.9906101217. The cubic root of 45365 is about 35.6648420569.

The spelling of 45365 in words is "forty-five thousand, three hundred sixty-five".