56306 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 27508.

The previous prime is 56299. The next prime is 56311. The reversal of 56306 is 60365.

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

It is an unprimeable number.

56306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁵⁶³⁰⁶ is an apocalyptic number.

56306 is a deficient number, since it is larger than the sum of its proper divisors (30094).

56306 is a wasteful number, since it uses less digits than its factorization.

56306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 56306 is about 237.2888535098. The cubic root of 56306 is about 38.3281824627.

The spelling of 56306 in words is "fifty-six thousand, three hundred six".