82971144 has 48 divisors (see below), whose sum is σ = 225267120. Its totient is φ = 27588960.

The previous prime is 82971137. The next prime is 82971179. The reversal of 82971144 is 44117928.

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 = 82971099 and 82971108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34179 + ... + 36525.

It is an arithmetic number, because the mean of its divisors is an integer number (4693065).

Almost surely, 2^82971144 is an apocalyptic number.

It is an amenable number.

82971144 is an abundant number, since it is smaller than the sum of its proper divisors (142295976).

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

82971144 is a wasteful number, since it uses less digits than its factorization.

82971144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2843 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 82971144 is about 9108.8497627307. The cubic root of 82971144 is about 436.1565103177.

The spelling of 82971144 in words is "eighty-two million, nine hundred seventy-one thousand, one hundred forty-four".