10254 has 8 divisors (see below), whose sum is σ = 20520. Its totient is φ = 3416.

The previous prime is 10253. The next prime is 10259. The reversal of 10254 is 45201.

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

10254 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10254.

It is not an unprimeable number, because it can be changed into a prime (10253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 849 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2¹⁰²⁵⁴ is an apocalyptic number.

10254 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 (10260).

10254 is a wasteful number, since it uses less digits than its factorization.

10254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10254 is about 101.2620363216. The cubic root of 10254 is about 21.7252327404.

Adding to 10254 its reverse (45201), we get a palindrome (55455).

The spelling of 10254 in words is "ten thousand, two hundred fifty-four".