39632 has 10 divisors (see below), whose sum is σ = 76818. Its totient is φ = 19808.

The previous prime is 39631. The next prime is 39659. The reversal of 39632 is 23693.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 5776 = 184^2 + 76^2 .

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is a zygodrome in base 7 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 39598 and 39607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39632.

It is not an unprimeable number, because it can be changed into a prime (39631) 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 as a sum of consecutive naturals, namely, 1223 + ... + 1254.

2³⁹⁶³² is an apocalyptic number.

It is an amenable number.

39632 is a deficient number, since it is larger than the sum of its proper divisors (37186).

39632 is a wasteful number, since it uses less digits than its factorization.

39632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its digits is 972, while the sum is 23.

The square root of 39632 is about 199.0778742101. The cubic root of 39632 is about 34.0943171273.

Adding to 39632 its product of digits (972), we get a palindrome (40604).

The spelling of 39632 in words is "thirty-nine thousand, six hundred thirty-two".