81833724 has 108 divisors (see below), whose sum is σ = 251216784. Its totient is φ = 22353408.

The previous prime is 81833723. The next prime is 81833761. The reversal of 81833724 is 42733818.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81833723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39564 + ... + 41580.

Almost surely, 2^81833724 is an apocalyptic number.

81833724 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81833724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125608392).

81833724 is an abundant number, since it is smaller than the sum of its proper divisors (169383060).

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

81833724 is a wasteful number, since it uses less digits than its factorization.

81833724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81833724 is about 9046.1994229621. The cubic root of 81833724 is about 434.1542982409.

The spelling of 81833724 in words is "eighty-one million, eight hundred thirty-three thousand, seven hundred twenty-four".