2075 has 6 divisors (see below), whose sum is σ = 2604. Its totient is φ = 1640.

The previous prime is 2069. The next prime is 2081. The reversal of 2075 is 5702.

It is an interprime number because it is at equal distance from previous prime (2069) and next prime (2081).

It is not a de Polignac number, because 2075 - 2⁶ = 2011 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6 and base 12.

It is a nialpdrome in base 14.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 17 + ... + 66.

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

2075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2075 is a deficient number, since it is larger than the sum of its proper divisors (529).

2075 is an equidigital number, since it uses as much as digits as its factorization.

2075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 2075 is about 45.5521678957. The cubic root of 2075 is about 12.7547720187.

Adding to 2075 its product of nonzero digits (70), we get a triangular number (2145 = T₆₅).

Adding to 2075 its reverse (5702), we get a palindrome (7777).

It can be divided in two parts, 207 and 5, that multiplied together give a triangular number (1035 = T₄₅).

The spelling of 2075 in words is "two thousand, seventy-five".