32536 has 24 divisors (see below), whose sum is σ = 71820. Its totient is φ = 13776.

The previous prime is 32533. The next prime is 32537. The reversal of 32536 is 63523.

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8 and base 15.

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 (32531) 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, 351 + ... + 433.

2³²⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35910).

32536 is an abundant number, since it is smaller than the sum of its proper divisors (39284).

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

32536 is a wasteful number, since it uses less digits than its factorization.

32536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 32536 is about 180.3773821742. The cubic root of 32536 is about 31.9243002312.

It can be divided in two parts, 325 and 36, that added together give a square (361 = 19²).

The spelling of 32536 in words is "thirty-two thousand, five hundred thirty-six".