82981000 has 32 divisors (see below), whose sum is σ = 194177880. Its totient is φ = 33192000.

The previous prime is 82980983. The next prime is 82981009. The reversal of 82981000 is 18928.

It can be written as a sum of positive squares in 4 ways, for example, as 17791524 + 65189476 = 4218^2 + 8074^2 .

It is a super-2 number, since 2×82981000² = 13771692722000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82981000.

It is not an unprimeable number, because it can be changed into a prime (82981009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40491 + ... + 42490.

Almost surely, 2^82981000 is an apocalyptic number.

It is an amenable number.

82981000 is an abundant number, since it is smaller than the sum of its proper divisors (111196880).

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

82981000 is a wasteful number, since it uses less digits than its factorization.

82981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83002 (or 82988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 82981000 is about 9109.3907589915. The cubic root of 82981000 is about 436.1737797287.

Adding to 82981000 its reverse (18928), we get a palindrome (82999928).

The spelling of 82981000 in words is "eighty-two million, nine hundred eighty-one thousand".