53705 has 8 divisors (see below), whose sum is σ = 67392. Its totient is φ = 41008.

The previous prime is 53699. The next prime is 53717. The reversal of 53705 is 50735.

53705 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 53705 - 2¹⁴ = 37321 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53705.

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, 119 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2⁵³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

53705 is a deficient number, since it is larger than the sum of its proper divisors (13687).

53705 is a wasteful number, since it uses less digits than its factorization.

53705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 53705 is about 231.7433925703. The cubic root of 53705 is about 37.7286767579.

The spelling of 53705 in words is "fifty-three thousand, seven hundred five".