36032 has 14 divisors (see below), whose sum is σ = 71628. Its totient is φ = 17984.

The previous prime is 36017. The next prime is 36037. The reversal of 36032 is 23063.

It is an Ulam number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 35998 and 36016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36032.

It is not an unprimeable number, because it can be changed into a prime (36037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 218 + ... + 345.

2³⁶⁰³² is an apocalyptic number.

36032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36032 is a deficient number, since it is larger than the sum of its proper divisors (35596).

36032 is an equidigital number, since it uses as much as digits as its factorization.

36032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 36032 is about 189.8209682833. The cubic root of 36032 is about 33.0290530797.

Adding to 36032 its sum of digits (14), we get a triangular number (36046 = T₂₆₈).

Adding to 36032 its reverse (23063), we get a palindrome (59095).

The spelling of 36032 in words is "thirty-six thousand, thirty-two", and thus it is an eban number.