321632 has 36 divisors (see below), whose sum is σ = 696780. Its totient is φ = 145728.

The previous prime is 321631. The next prime is 321647. The reversal of 321632 is 236123.

321632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 321632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321631) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 13973 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (19355).

2³²¹⁶³² is an apocalyptic number.

321632 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 321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348390).

321632 is an abundant number, since it is smaller than the sum of its proper divisors (375148).

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

321632 is a wasteful number, since it uses less digits than its factorization.

321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 321632 is about 567.1260882731. The cubic root of 321632 is about 68.5151191164.

Adding to 321632 its reverse (236123), we get a palindrome (557755).

The spelling of 321632 in words is "three hundred twenty-one thousand, six hundred thirty-two".