32436 has 36 divisors (see below), whose sum is σ = 88452. Its totient is φ = 9984.

The previous prime is 32429. The next prime is 32441. The reversal of 32436 is 63423.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 8100 = 156^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3 + 2¹³ + 4⁷ + 3⁸ + 6⁴ .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

32436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2³²⁴³⁶ is an apocalyptic number.

32436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226).

32436 is an abundant number, since it is smaller than the sum of its proper divisors (56016).

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

32436 is a wasteful number, since it uses less digits than its factorization.

32436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 32436 is about 180.0999722376. The cubic root of 32436 is about 31.8915600225.

Adding to 32436 its reverse (63423), we get a palindrome (95859).

It can be divided in two parts, 3243 and 6, that added together give a square (3249 = 57²).

The spelling of 32436 in words is "thirty-two thousand, four hundred thirty-six".