83403424 has 48 divisors (see below), whose sum is σ = 178096968. Its totient is φ = 38218752.

The previous prime is 83403373. The next prime is 83403443. The reversal of 83403424 is 42430438.

It can be written as a sum of positive squares in 4 ways, for example, as 55651600 + 27751824 = 7460^2 + 5268^2 .

It is a super-3 number, since 3×83403424³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 83403392 and 83403401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64674 + ... + 65950.

Almost surely, 2^83403424 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 83403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89048484).

83403424 is an abundant number, since it is smaller than the sum of its proper divisors (94693544).

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

83403424 is a wasteful number, since it uses less digits than its factorization.

83403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 83403424 is about 9132.5475087732. The cubic root of 83403424 is about 436.9126577254.

The spelling of 83403424 in words is "eighty-three million, four hundred three thousand, four hundred twenty-four".