981000 has 96 divisors (see below), whose sum is σ = 3346200. Its totient is φ = 259200.

The previous prime is 980999. The next prime is 981011. The reversal of 981000 is 189.

It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 599076 = 618^2 + 774^2 .

It is a super-2 number, since 2×981000² = 1924722000000, which contains 22 as substring.

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8946 + ... + 9054.

2⁹⁸¹⁰⁰⁰ is an apocalyptic number.

981000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673100).

981000 is an abundant number, since it is smaller than the sum of its proper divisors (2365200).

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

981000 is a wasteful number, since it uses less digits than its factorization.

981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 981000 is about 990.4544411532. The cubic root of 981000 is about 99.3626126722.

Adding to 981000 its reverse (189), we get a palindrome (981189).

It can be divided in two parts, 9 and 81000, that multiplied together give a cube (729000 = 90³).

The spelling of 981000 in words is "nine hundred eighty-one thousand".