81225936 has 80 divisors (see below), whose sum is σ = 254358720. Its totient is φ = 24612480.

The previous prime is 81225919. The next prime is 81225941. The reversal of 81225936 is 63952218.

81225936 = 294² + 295² + ... + 645².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81225936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3795 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (3179484).

Almost surely, 2^81225936 is an apocalyptic number.

It is an amenable number.

81225936 is an abundant number, since it is smaller than the sum of its proper divisors (173132784).

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

81225936 is a wasteful number, since it uses less digits than its factorization.

81225936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17121 (or 17109 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 81225936 is about 9012.5432592582. The cubic root of 81225936 is about 433.0767891092.

The spelling of 81225936 in words is "eighty-one million, two hundred twenty-five thousand, nine hundred thirty-six".