83534724 has 144 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 21482496.

The previous prime is 83534723. The next prime is 83534741. The reversal of 83534724 is 42743538.

It is a happy number.

It is a super-2 number, since 2×83534724² = 13956100227512352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (83534723) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 140572 + ... + 141164.

It is an arithmetic number, because the mean of its divisors is an integer number (1849848).

Almost surely, 2^83534724 is an apocalyptic number.

83534724 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 83534724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

83534724 is an abundant number, since it is smaller than the sum of its proper divisors (182843388).

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

83534724 is a wasteful number, since it uses less digits than its factorization.

83534724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 83534724 is about 9139.7332565015. The cubic root of 83534724 is about 437.1418112056.

The spelling of 83534724 in words is "eighty-three million, five hundred thirty-four thousand, seven hundred twenty-four".