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10002 = 231667

10002 has 8 divisors (see below), whose sum is σ = 20016. Its totient is φ = 3332.

The previous prime is 9973. The next prime is 10007. The reversal of 10002 is 20001.

Adding to 10002 its reverse (20001), we get a palindrome (30003).

Subtracting 10002 from its reverse (20001), we obtain a palindrome (9999).

Multipling 10002 by its reverse (20001), we get a palindrome (200050002).

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

10002 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.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

10002 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 828 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (2502).

210002 is an apocalyptic number.

10002 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 (10008).

10002 is a wasteful number, since it uses less digits than its factorization.

10002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672.

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

The square root of 10002 is about 100.0099995000. The cubic root of 10002 is about 21.5457830944.

The spelling of 10002 in words is "ten thousand, two", and thus it is an iban number.

Divisors: 1 2 3 6 1667 3334 5001 10002