3075 has 12 divisors (see below), whose sum is σ = 5208. Its totient is φ = 1600.

The previous prime is 3067. The next prime is 3079. The reversal of 3075 is 5703.

Added to its reverse (5703) it gives a triangular number (8778 = T₁₃₂).

3075 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 3075 - 2³ = 3067 is a prime.

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

3075 is a lucky number.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 5 and base 15.

It is a zygodrome in base 2 and base 14.

It is not an unprimeable number, because it can be changed into a prime (3079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

2³⁰⁷⁵ is an apocalyptic number.

3075 is the 30-th nonagonal number.

3075 is a deficient number, since it is larger than the sum of its proper divisors (2133).

3075 is a wasteful number, since it uses less digits than its factorization.

3075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 3075 is about 55.4526825320. The cubic root of 3075 is about 14.5416952880.

Adding to 3075 its reverse (5703), we get a palindrome (8778).

Subtracting 3075 from its reverse (5703), we obtain a triangular number (2628 = T₇₂).

It can be divided in two parts, 30 and 75, that added together give a triangular number (105 = T₁₄).

The spelling of 3075 in words is "three thousand, seventy-five".