32512 has 18 divisors (see below), whose sum is σ = 65408. Its totient is φ = 16128.

The previous prime is 32507. The next prime is 32531. The reversal of 32512 is 21523.

It is a plaindrome in base 11.

It is a nialpdrome in base 2, base 8 and base 15.

It is a zygodrome in base 2 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 32492 and 32501.

It is a congruent number.

It is an unprimeable number.

32512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 193 + ... + 319.

2³²⁵¹² is an apocalyptic number.

32512 is a gapful number since it is divisible by the number (32) 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 32512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704).

32512 is an abundant number, since it is smaller than the sum of its proper divisors (32896).

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

32512 is an equidigital number, since it uses as much as digits as its factorization.

32512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 60, while the sum is 13.

The square root of 32512 is about 180.3108427134. The cubic root of 32512 is about 31.9164487059.

It can be divided in two parts, 32 and 512, that multiplied together give a 14-th power (16384 = 2¹⁴).

The spelling of 32512 in words is "thirty-two thousand, five hundred twelve".