82435500 has 144 divisors (see below), whose sum is σ = 297321024. Its totient is φ = 18835200.

The previous prime is 82435481. The next prime is 82435513. The reversal of 82435500 is 553428.

It is a super-2 number, since 2×82435500² = 13591223320500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30192 + ... + 32808.

Almost surely, 2^82435500 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 82435500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148660512).

82435500 is an abundant number, since it is smaller than the sum of its proper divisors (214885524).

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

82435500 is a wasteful number, since it uses less digits than its factorization.

82435500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82435500 is about 9079.3997598960. The cubic root of 82435500 is about 435.2159055042.

Adding to 82435500 its reverse (553428), we get a palindrome (82988928).

The spelling of 82435500 in words is "eighty-two million, four hundred thirty-five thousand, five hundred".