4275 has 18 divisors (see below), whose sum is σ = 8060. Its totient is φ = 2160.

The previous prime is 4273. The next prime is 4283. The reversal of 4275 is 5724.

4275 = T₁₁ + T₁₂ + ... + T₂₉.

It is a happy number.

It is not a de Polignac number, because 4275 - 2¹ = 4273 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (280) is a multiple of the sum of its prime factors (35).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4275.

It is not an unprimeable number, because it can be changed into a prime (4271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 216 + ... + 234.

2⁴²⁷⁵ is an apocalyptic number.

4275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4275 is a deficient number, since it is larger than the sum of its proper divisors (3785).

4275 is a wasteful number, since it uses less digits than its factorization.

4275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 27 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4275 is about 65.3834841531. The cubic root of 4275 is about 16.2297578328.

Adding to 4275 its reverse (5724), we get a palindrome (9999).

The spelling of 4275 in words is "four thousand, two hundred seventy-five".