32790 has 16 divisors (see below), whose sum is σ = 78768. Its totient is φ = 8736.

The previous prime is 32789. The next prime is 32797. The reversal of 32790 is 9723.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (4923).

2³²⁷⁹⁰ is an apocalyptic number.

32790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32790 is an abundant number, since it is smaller than the sum of its proper divisors (45978).

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 (39384).

32790 is a wasteful number, since it uses less digits than its factorization.

32790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 32790 is about 181.0800927766. The cubic root of 32790 is about 32.0071598562.

The spelling of 32790 in words is "thirty-two thousand, seven hundred ninety".