30852 has 18 divisors (see below), whose sum is σ = 78078. Its totient is φ = 10272.

The previous prime is 30851. The next prime is 30853. The reversal of 30852 is 25803.

30852 = T₃ + T₄ + ... + T₅₆.

It is an interprime number because it is at equal distance from previous prime (30851) and next prime (30853).

It can be written as a sum of positive squares in only one way, i.e., 30276 + 576 = 174^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30852.

It is not an unprimeable number, because it can be changed into a prime (30851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393 + ... + 464.

2³⁰⁸⁵² is an apocalyptic number.

It is an amenable number.

30852 is an abundant number, since it is smaller than the sum of its proper divisors (47226).

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

30852 is a wasteful number, since it uses less digits than its factorization.

30852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30852 is about 175.6473740197. The cubic root of 30852 is about 31.3637348911.

The spelling of 30852 in words is "thirty thousand, eight hundred fifty-two".