45393 has 4 divisors (see below), whose sum is σ = 60528. Its totient is φ = 30260.

The previous prime is 45389. The next prime is 45403. The reversal of 45393 is 39354.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 45393 - 2² = 45389 is a prime.

It is a D-number.

It is a Curzon number.

45393 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45393.

It is not an unprimeable number, because it can be changed into a prime (45343) 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 3 ways as a sum of consecutive naturals, for example, 7563 + ... + 7568.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2⁴⁵³⁹³ is an apocalyptic number.

It is an amenable number.

45393 is a deficient number, since it is larger than the sum of its proper divisors (15135).

45393 is a wasteful number, since it uses less digits than its factorization.

45393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134.

The product of its digits is 1620, while the sum is 24.

The square root of 45393 is about 213.0563305795. The cubic root of 45393 is about 35.6721781838.

Subtracting from 45393 its sum of digits (24), we obtain a square (45369 = 213²).

The spelling of 45393 in words is "forty-five thousand, three hundred ninety-three".