32540 has 12 divisors (see below), whose sum is σ = 68376. Its totient is φ = 13008.

The previous prime is 32537. The next prime is 32561. The reversal of 32540 is 4523.

32540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

32540 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32540.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 794 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (5698).

2³²⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

32540 is an abundant number, since it is smaller than the sum of its proper divisors (35836).

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 (34188).

32540 is a wasteful number, since it uses less digits than its factorization.

32540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 32540 is about 180.3884696980. The cubic root of 32540 is about 31.9256084433.

The spelling of 32540 in words is "thirty-two thousand, five hundred forty".