83132500 has 60 divisors (see below), whose sum is σ = 198386496. Its totient is φ = 30220000.

The previous prime is 83132479. The next prime is 83132501. The reversal of 83132500 is 523138.

It is a super-2 number, since 2×83132500² = 13822025112500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83132501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25989 + ... + 29011.

Almost surely, 2^83132500 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 83132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99193248).

83132500 is an abundant number, since it is smaller than the sum of its proper divisors (115253996).

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

83132500 is a wasteful number, since it uses less digits than its factorization.

83132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 83132500 is about 9117.7025615009. The cubic root of 83132500 is about 436.4390619567.

Adding to 83132500 its reverse (523138), we get a palindrome (83655638).

The spelling of 83132500 in words is "eighty-three million, one hundred thirty-two thousand, five hundred".