82701000 has 160 divisors (see below), whose sum is σ = 289369080. Its totient is φ = 22032000.

The previous prime is 82700941. The next prime is 82701001. The reversal of 82701000 is 10728.

It can be written as a sum of positive squares in 4 ways, for example, as 27436644 + 55264356 = 5238^2 + 7434^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (82701001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80490 + ... + 81510.

Almost surely, 2^82701000 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 82701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144684540).

82701000 is an abundant number, since it is smaller than the sum of its proper divisors (206668080).

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

82701000 is a wasteful number, since it uses less digits than its factorization.

82701000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82701000 is about 9094.0090169298. The cubic root of 82701000 is about 435.6826380566.

Adding to 82701000 its reverse (10728), we get a palindrome (82711728).

The spelling of 82701000 in words is "eighty-two million, seven hundred one thousand".