82622436 has 96 divisors (see below), whose sum is σ = 216289920. Its totient is φ = 24385536.

The previous prime is 82622413. The next prime is 82622453. The reversal of 82622436 is 63422628.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82622397 and 82622406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731116 + ... + 731228.

It is an arithmetic number, because the mean of its divisors is an integer number (2253020).

Almost surely, 2^82622436 is an apocalyptic number.

82622436 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

82622436 is the 4859-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82622436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108144960).

82622436 is an abundant number, since it is smaller than the sum of its proper divisors (133667484).

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

82622436 is a wasteful number, since it uses less digits than its factorization.

82622436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 82622436 is about 9089.6884435056. The cubic root of 82622436 is about 435.5446316020.

The spelling of 82622436 in words is "eighty-two million, six hundred twenty-two thousand, four hundred thirty-six".