82195744 has 48 divisors (see below), whose sum is σ = 174726720. Its totient is φ = 37945600.

The previous prime is 82195741. The next prime is 82195769. The reversal of 82195744 is 44759128.

It is a super-2 number, since 2×82195744² = 13512280663427072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82195697 and 82195706.

It is not an unprimeable number, because it can be changed into a prime (82195741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19419 + ... + 23269.

It is an arithmetic number, because the mean of its divisors is an integer number (3640140).

Almost surely, 2^82195744 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 82195744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363360).

82195744 is an abundant number, since it is smaller than the sum of its proper divisors (92530976).

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

82195744 is a wasteful number, since it uses less digits than its factorization.

82195744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3905 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 82195744 is about 9066.1868500489. The cubic root of 82195744 is about 434.7935674409.

The spelling of 82195744 in words is "eighty-two million, one hundred ninety-five thousand, seven hundred forty-four".