83243424 has 96 divisors (see below), whose sum is σ = 252455616. Its totient is φ = 23736320.

The previous prime is 83243411. The next prime is 83243429. The reversal of 83243424 is 42434238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83243391 and 83243400.

It is not an unprimeable number, because it can be changed into a prime (83243429) 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, 15634 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (2629746).

Almost surely, 2^83243424 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 83243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126227808).

83243424 is an abundant number, since it is smaller than the sum of its proper divisors (169212192).

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

83243424 is a wasteful number, since it uses less digits than its factorization.

83243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4670 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 83243424 is about 9123.7834257505. The cubic root of 83243424 is about 436.6330897659.

The spelling of 83243424 in words is "eighty-three million, two hundred forty-three thousand, four hundred twenty-four".