32830 has 24 divisors (see below), whose sum is σ = 69768. Its totient is φ = 11088.

The previous prime is 32803. The next prime is 32831. The reversal of 32830 is 3823.

It is a happy number.

It is a d-powerful number, because it can be written as 3³ + 2¹⁵ + 8 + 3³ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (2907).

2³²⁸³⁰ is an apocalyptic number.

32830 is an abundant number, since it is smaller than the sum of its proper divisors (36938).

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 (34884).

32830 is a wasteful number, since it uses less digits than its factorization.

32830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

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

The square root of 32830 is about 181.1905074776. The cubic root of 32830 is about 32.0201695761.

The spelling of 32830 in words is "thirty-two thousand, eight hundred thirty".