6632 has 8 divisors (see below), whose sum is σ = 12450. Its totient is φ = 3312.

The previous prime is 6619. The next prime is 6637. The reversal of 6632 is 2366.

It can be written as a sum of positive squares in only one way, i.e., 5476 + 1156 = 74^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6632.

It is not an unprimeable number, because it can be changed into a prime (6637) by changing a digit.

6632 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, 407 + ... + 422.

2⁶⁶³² is an apocalyptic number.

It is an amenable number.

6632 is a deficient number, since it is larger than the sum of its proper divisors (5818).

6632 is a wasteful number, since it uses less digits than its factorization.

6632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

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

The square root of 6632 is about 81.4370922860. The cubic root of 6632 is about 18.7880412856.

Adding to 6632 its reverse (2366), we get a palindrome (8998).

It can be divided in two parts, 663 and 2, that multiplied together give a triangular number (1326 = T₅₁).

The spelling of 6632 in words is "six thousand, six hundred thirty-two".