81652 has 12 divisors (see below), whose sum is σ = 144900. Its totient is φ = 40256.

The previous prime is 81649. The next prime is 81667. The reversal of 81652 is 25618.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 54756 = 164^2 + 234^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474 + ... + 622.

It is an arithmetic number, because the mean of its divisors is an integer number (12075).

2⁸¹⁶⁵² is an apocalyptic number.

It is an amenable number.

81652 is a deficient number, since it is larger than the sum of its proper divisors (63248).

81652 is a wasteful number, since it uses less digits than its factorization.

81652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 81652 is about 285.7481408513. The cubic root of 81652 is about 43.3832691922.

It can be divided in two parts, 816 and 52, that added together give a palindrome (868).

The spelling of 81652 in words is "eighty-one thousand, six hundred fifty-two".