10182 has 8 divisors (see below), whose sum is σ = 20376. Its totient is φ = 3392.

The previous prime is 10181. The next prime is 10193. The reversal of 10182 is 28101.

10182 = T₄₃ + T₄₄ + ... + T₅₁.

It is a happy number.

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

10182 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181) 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, 843 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (2547).

2¹⁰¹⁸² is an apocalyptic number.

10182 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 (10188).

10182 is a wasteful number, since it uses less digits than its factorization.

10182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10182 is about 100.9058967553. The cubic root of 10182 is about 21.6742642652.

Adding to 10182 its reverse (28101), we get a palindrome (38283).

The spelling of 10182 in words is "ten thousand, one hundred eighty-two".