81632 has 12 divisors (see below), whose sum is σ = 160776. Its totient is φ = 40800.

The previous prime is 81629. The next prime is 81637. The reversal of 81632 is 23618.

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1244 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (13398).

2⁸¹⁶³² is an apocalyptic number.

It is an amenable number.

81632 is a deficient number, since it is larger than the sum of its proper divisors (79144).

81632 is a wasteful number, since it uses less digits than its factorization.

81632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2553 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 81632 is about 285.7131428549. The cubic root of 81632 is about 43.3797267755.

It can be divided in two parts, 816 and 32, that added together give a palindrome (848).

The spelling of 81632 in words is "eighty-one thousand, six hundred thirty-two".