6075 has 18 divisors (see below), whose sum is σ = 11284. Its totient is φ = 3240.

The previous prime is 6073. The next prime is 6079. The reversal of 6075 is 5706.

Added to its reverse (5706) it gives a triangular number (11781 = T₁₅₃).

6075 = 3³ + 4³ + ... + 12³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 6075 - 2¹ = 6073 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7, base 14 and base 16.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6073) 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, 1213 + ... + 1217.

2⁶⁰⁷⁵ is an apocalyptic number.

6075 is a deficient number, since it is larger than the sum of its proper divisors (5209).

6075 is an equidigital number, since it uses as much as digits as its factorization.

6075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 6075 is about 77.9422863406. The cubic root of 6075 is about 18.2466059867.

Adding to 6075 its reverse (5706), we get a triangular number (11781 = T₁₅₃).

The spelling of 6075 in words is "six thousand, seventy-five".