82158444 has 72 divisors (see below), whose sum is σ = 215953920. Its totient is φ = 26317152.

The previous prime is 82158443. The next prime is 82158449. The reversal of 82158444 is 44485128.

It is a super-2 number, since 2×82158444² = 13500019841002272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82158399 and 82158408.

It is not an unprimeable number, because it can be changed into a prime (82158443) 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, 99417 + ... + 100239.

It is an arithmetic number, because the mean of its divisors is an integer number (2999360).

Almost surely, 2^82158444 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 82158444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976960).

82158444 is an abundant number, since it is smaller than the sum of its proper divisors (133795476).

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

82158444 is a wasteful number, since it uses less digits than its factorization.

82158444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 82158444 is about 9064.1295224638. The cubic root of 82158444 is about 434.7277884720.

The spelling of 82158444 in words is "eighty-two million, one hundred fifty-eight thousand, four hundred forty-four".