30846 has 16 divisors (see below), whose sum is σ = 63504. Its totient is φ = 9984.

The previous prime is 30841. The next prime is 30851. The reversal of 30846 is 64803.

30846 = T₄ + T₅ + ... + T₅₆.

It is an interprime number because it is at equal distance from previous prime (30841) and next prime (30851).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30841) by changing a digit.

30846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2³⁰⁸⁴⁶ is an apocalyptic number.

30846 is an abundant number, since it is smaller than the sum of its proper divisors (32658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752).

30846 is a wasteful number, since it uses less digits than its factorization.

30846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30846 is about 175.6302935145. The cubic root of 30846 is about 31.3617015858.

The spelling of 30846 in words is "thirty thousand, eight hundred forty-six".