1000 has 16 divisors (see below), whose sum is σ = 2340. Its totient is φ = 400.

The previous prime is 997. The next prime is 1009. The reversal of 1000 is 1.

It is a happy number.

The cubic root of 1000 is 10.

It is a perfect power (a cube), and thus also a powerful number.

1000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 324 = 26^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1000 is an undulating number in base 7.

1000 is a Rhonda number in base 16.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 4 and base 10.

It is not an unprimeable number, because it can be changed into a prime (1009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 202.

1000 is a gapful number since it is divisible by the number (10) 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 1000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170).

1000 is an abundant number, since it is smaller than the sum of its proper divisors (1340).

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

1000 is an equidigital number, since it uses as much as digits as its factorization.

1000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The square root of 1000 is about 31.6227766017.

The spelling of 1000 in words is "one thousand", and thus it is an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.039 sec. • engine limits •