5075 has 12 divisors (see below), whose sum is σ = 7440. Its totient is φ = 3360.

The previous prime is 5059. The next prime is 5077. The reversal of 5075 is 5705.

It is not a de Polignac number, because 5075 - 2⁴ = 5059 is a prime.

5075 is an undulating number in base 12.

5075 is a modest number, since divided by 75 gives 50 as remainder.

It is not an unprimeable number, because it can be changed into a prime (5077) 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, 161 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (620).

2⁵⁰⁷⁵ is an apocalyptic number.

5075 is a deficient number, since it is larger than the sum of its proper divisors (2365).

5075 is a wasteful number, since it uses less digits than its factorization.

5075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 5075 is about 71.2390342439. The cubic root of 5075 is about 17.1848342973.

Subtracting from 5075 its product of nonzero digits (175), we obtain a square (4900 = 70²).

Subtracting 5075 from its reverse (5705), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 507 and 5, that added together give a 9-th power (512 = 2⁹).

The spelling of 5075 in words is "five thousand, seventy-five".