83573056 has 56 divisors (see below), whose sum is σ = 191511936. Its totient is φ = 35443200.

The previous prime is 83573051. The next prime is 83573081. The reversal of 83573056 is 65037538.

83573056 is a nontrivial binomial coefficient, being equal to C(12929, 2).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83573051) 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 7 ways as a sum of consecutive naturals, for example, 44325 + ... + 46171.

It is an arithmetic number, because the mean of its divisors is an integer number (3419856).

Almost surely, 2^83573056 is an apocalyptic number.

83573056 is the 12928-th triangular number.

83573056 is the 4310-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95755968).

83573056 is an abundant number, since it is smaller than the sum of its proper divisors (107938880).

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

83573056 is a wasteful number, since it uses less digits than its factorization.

83573056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 83573056 is about 9141.8300137336. The cubic root of 83573056 is about 437.2086654698.

The spelling of 83573056 in words is "eighty-three million, five hundred seventy-three thousand, fifty-six".