10275 has 12 divisors (see below), whose sum is σ = 17112. Its totient is φ = 5440.

The previous prime is 10273. The next prime is 10289. The reversal of 10275 is 57201.

It is a happy number.

10275 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10275 - 2¹ = 10273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

10275 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (10271) 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 11 ways as a sum of consecutive naturals, for example, 7 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1426).

2¹⁰²⁷⁵ is an apocalyptic number.

10275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10275 is a deficient number, since it is larger than the sum of its proper divisors (6837).

10275 is a wasteful number, since it uses less digits than its factorization.

10275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10275 is about 101.3656746636. The cubic root of 10275 is about 21.7400535840.

Adding to 10275 its reverse (57201), we get a palindrome (67476).

The spelling of 10275 in words is "ten thousand, two hundred seventy-five".