54345 has 8 divisors (see below), whose sum is σ = 86976. Its totient is φ = 28976.

The previous prime is 54331. The next prime is 54347.

It is a happy number.

54345 is nontrivially palindromic in base 10.

54345 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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 54345 - 2⁷ = 54217 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54347) 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, 1797 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (10872).

2⁵⁴³⁴⁵ is an apocalyptic number.

It is an amenable number.

54345 is a deficient number, since it is larger than the sum of its proper divisors (32631).

54345 is a wasteful number, since it uses less digits than its factorization.

54345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631.

The product of its digits is 1200, while the sum is 21.

The square root of 54345 is about 233.1201407000. The cubic root of 54345 is about 37.8779556342.

The spelling of 54345 in words is "fifty-four thousand, three hundred forty-five".