82353936 has 80 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 23337600.

The previous prime is 82353907. The next prime is 82353977. The reversal of 82353936 is 63935328.

It is a junction number, because it is equal to n+sod(n) for n = 82353894 and 82353903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43081 + ... + 44951.

Almost surely, 2^82353936 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 82353936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

82353936 is an abundant number, since it is smaller than the sum of its proper divisors (162773232).

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

82353936 is a wasteful number, since it uses less digits than its factorization.

82353936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 82353936 is about 9074.9069416716. The cubic root of 82353936 is about 435.0723198560.

The spelling of 82353936 in words is "eighty-two million, three hundred fifty-three thousand, nine hundred thirty-six".