30705 has 16 divisors (see below), whose sum is σ = 51840. Its totient is φ = 15488.

The previous prime is 30703. The next prime is 30707. The reversal of 30705 is 50703.

It is an interprime number because it is at equal distance from previous prime (30703) and next prime (30707).

It is a cyclic number.

It is not a de Polignac number, because 30705 - 2¹ = 30703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 301 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2³⁰⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

30705 is a deficient number, since it is larger than the sum of its proper divisors (21135).

30705 is a wasteful number, since it uses less digits than its factorization.

30705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 30705 is about 175.2284223521. The cubic root of 30705 is about 31.3138428155.

The spelling of 30705 in words is "thirty thousand, seven hundred five".