83053000 has 96 divisors (see below), whose sum is σ = 204455160. Its totient is φ = 31574400.

The previous prime is 83052989. The next prime is 83053001. The reversal of 83053000 is 35038.

It can be written as a sum of positive squares in 4 ways, for example, as 16760836 + 66292164 = 4094^2 + 8142^2 .

It is not an unprimeable number, because it can be changed into a prime (83053001) 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, 528922 + ... + 529078.

Almost surely, 2^83053000 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 83053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102227580).

83053000 is an abundant number, since it is smaller than the sum of its proper divisors (121402160).

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

83053000 is a wasteful number, since it uses less digits than its factorization.

83053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 83053000 is about 9113.3418678331. The cubic root of 83053000 is about 436.2998946772.

Adding to 83053000 its reverse (35038), we get a palindrome (83088038).

The spelling of 83053000 in words is "eighty-three million, fifty-three thousand".