81835512 has 64 divisors (see below), whose sum is σ = 224294400. Its totient is φ = 24675840.

The previous prime is 81835499. The next prime is 81835513. The reversal of 81835512 is 21553818.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81835513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62448 + ... + 63744.

It is an arithmetic number, because the mean of its divisors is an integer number (3504600).

Almost surely, 2^81835512 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 81835512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112147200).

81835512 is an abundant number, since it is smaller than the sum of its proper divisors (142458888).

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

81835512 is a wasteful number, since it uses less digits than its factorization.

81835512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 81835512 is about 9046.2982484550. The cubic root of 81835512 is about 434.1574601901.

It can be divided in two parts, 8183 and 5512, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 81835512 in words is "eighty-one million, eight hundred thirty-five thousand, five hundred twelve".