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1002 = 23167

1002 has 8 divisors (see below), whose sum is σ = 2016. Its totient is φ = 332.

The previous prime is 997. The next prime is 1009. The reversal of 1002 is 2001.

Added to its reverse (2001) it gives a triangular number (3003 = T77).

1002 is nontrivially palindromic in base 12.

It is a sphenic number, since it is the product of 3 distinct primes.

1002 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

1002 is an undulating number in base 12.

It is a partition number, being equal to the number of ways a set of 22 identical objects can be partitioned into subset.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 4 and base 11.

It is a zygodrome in base 4.

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

1002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

21002 is an apocalyptic number.

1002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008).

1002 is a wasteful number, since it uses less digits than its factorization.

1002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 1002 is about 31.6543835827. The cubic root of 1002 is about 10.0066622272.

Adding to 1002 its reverse (2001), we get a palindrome (3003).

Subtracting 1002 from its reverse (2001), we obtain a palindrome (999).

Multiplying 1002 by its reverse (2001), we get a palindrome (2005002).

The spelling of 1002 in words is "one thousand, two", and thus it is an iban number.

Divisors: 1 2 3 6 167 334 501 1002