82971000 has 256 divisors, whose sum is σ = 329472000. Its totient is φ = 18921600.

The previous prime is 82970981. The next prime is 82971013. The reversal of 82971000 is 17928.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188781 + ... + 189219.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 2^82971000 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 82971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

82971000 is an abundant number, since it is smaller than the sum of its proper divisors (246501000).

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

82971000 is a wasteful number, since it uses less digits than its factorization.

82971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 82971000 is about 9108.8418583264. The cubic root of 82971000 is about 436.1562579948.

Adding to 82971000 its reverse (17928), we get a palindrome (82988928).

The spelling of 82971000 in words is "eighty-two million, nine hundred seventy-one thousand".