82212408 has 120 divisors (see below), whose sum is σ = 245170200. Its totient is φ = 25733376.

The previous prime is 82212407. The next prime is 82212433. The reversal of 82212408 is 80421228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82212407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 187053 + ... + 187491.

It is an arithmetic number, because the mean of its divisors is an integer number (2043085).

Almost surely, 2^82212408 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 82212408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122585100).

82212408 is an abundant number, since it is smaller than the sum of its proper divisors (162957792).

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

82212408 is a wasteful number, since it uses less digits than its factorization.

82212408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82212408 is about 9067.1058226978. The cubic root of 82212408 is about 434.8229481609.

The spelling of 82212408 in words is "eighty-two million, two hundred twelve thousand, four hundred eight".