82175940 has 288 divisors, whose sum is σ = 319737600. Its totient is φ = 17075520.

The previous prime is 82175903. The next prime is 82175953. The reversal of 82175940 is 4957128.

It is a super-2 number, since 2×82175940² = 13505770229767200, 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 = 82175895 and 82175904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7470535 + ... + 7470545.

It is an arithmetic number, because the mean of its divisors is an integer number (1110200).

Almost surely, 2^82175940 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 82175940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

82175940 is an abundant number, since it is smaller than the sum of its proper divisors (237561660).

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

82175940 is a wasteful number, since it uses less digits than its factorization.

82175940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82175940 is about 9065.0945941010. The cubic root of 82175940 is about 434.7586453430.

The spelling of 82175940 in words is "eighty-two million, one hundred seventy-five thousand, nine hundred forty".