81735852 has 48 divisors (see below), whose sum is σ = 211486464. Its totient is φ = 24360000.

The previous prime is 81735817. The next prime is 81735877. The reversal of 81735852 is 25853718.

It is a self number, because there is not a number n which added to its sum of digits gives 81735852.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (4405968).

Almost surely, 2^81735852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81735852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105743232).

81735852 is an abundant number, since it is smaller than the sum of its proper divisors (129750612).

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

81735852 is a wasteful number, since it uses less digits than its factorization.

81735852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10230 (or 10228 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 81735852 is about 9040.7882399711. The cubic root of 81735852 is about 433.9811483526.

The spelling of 81735852 in words is "eighty-one million, seven hundred thirty-five thousand, eight hundred fifty-two".