83164224 has 168 divisors, whose sum is σ = 261042912. Its totient is φ = 23162880.

The previous prime is 83164223. The next prime is 83164231. The reversal of 83164224 is 42246138.

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 = 83164191 and 83164200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83164223) 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 23 ways as a sum of consecutive naturals, for example, 356812 + ... + 357044.

Almost surely, 2^83164224 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 83164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130521456).

83164224 is an abundant number, since it is smaller than the sum of its proper divisors (177878688).

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

83164224 is a wasteful number, since it uses less digits than its factorization.

83164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 83164224 is about 9119.4420881982. The cubic root of 83164224 is about 436.4945710615.

The spelling of 83164224 in words is "eighty-three million, one hundred sixty-four thousand, two hundred twenty-four".