30832 has 20 divisors (see below), whose sum is σ = 62496. Its totient is φ = 14720.

The previous prime is 30829. The next prime is 30839. The reversal of 30832 is 23803.

It is a happy number.

It is a super-2 number, since 2×30832² = 1901224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633 + ... + 679.

2³⁰⁸³² is an apocalyptic number.

It is an amenable number.

30832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (31248).

30832 is a wasteful number, since it uses less digits than its factorization.

30832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 30832 is about 175.5904325412. The cubic root of 30832 is about 31.3569561810.

Adding to 30832 its product of nonzero digits (144), we get a square (30976 = 176²).

The spelling of 30832 in words is "thirty thousand, eight hundred thirty-two".