82508356 has 72 divisors (see below), whose sum is σ = 174947136. Its totient is φ = 33929280.

The previous prime is 82508353. The next prime is 82508369. The reversal of 82508356 is 65380528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82508351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801001 + ... + 801103.

Almost surely, 2^82508356 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 82508356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87473568).

82508356 is an abundant number, since it is smaller than the sum of its proper divisors (92438780).

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

82508356 is a wasteful number, since it uses less digits than its factorization.

82508356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 82508356 is about 9083.4110333068. The cubic root of 82508356 is about 435.3440814861.

The spelling of 82508356 in words is "eighty-two million, five hundred eight thousand, three hundred fifty-six".