82817232 has 20 divisors (see below), whose sum is σ = 213944640. Its totient is φ = 27605728.

The previous prime is 82817209. The next prime is 82817237. The reversal of 82817232 is 23271828.

It is a super-3 number, since 3×82817232³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 82817193 and 82817202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82817237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 862632 + ... + 862727.

It is an arithmetic number, because the mean of its divisors is an integer number (10697232).

Almost surely, 2^82817232 is an apocalyptic number.

It is an amenable number.

82817232 is an abundant number, since it is smaller than the sum of its proper divisors (131127408).

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

82817232 is a wasteful number, since it uses less digits than its factorization.

82817232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725370 (or 1725364 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 82817232 is about 9100.3973539621. The cubic root of 82817232 is about 435.8866523523.

The spelling of 82817232 in words is "eighty-two million, eight hundred seventeen thousand, two hundred thirty-two".