45395 has 8 divisors (see below), whose sum is σ = 62304. Its totient is φ = 31104.

The previous prime is 45389. The next prime is 45403. The reversal of 45395 is 59354.

45395 = T₁₂₀ + T₁₂₁ + ... + T₁₂₅.

45395 is nontrivially palindromic in base 6.

45395 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 a cyclic number.

It is not a de Polignac number, because 45395 - 2⁸ = 45139 is a prime.

It is a Duffinian number.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (7788).

2⁴⁵³⁹⁵ is an apocalyptic number.

45395 is a deficient number, since it is larger than the sum of its proper divisors (16909).

45395 is a wasteful number, since it uses less digits than its factorization.

45395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309.

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

The square root of 45395 is about 213.0610241222. The cubic root of 45395 is about 35.6727020774.

Subtracting from 45395 its sum of digits (26), we obtain a square (45369 = 213²).

The spelling of 45395 in words is "forty-five thousand, three hundred ninety-five".