4575 has 12 divisors (see below), whose sum is σ = 7688.
Its totient is φ = 2400.
The previous prime is 4567. The next prime is 4583. The reversal of 4575 is 5754.
Subtracting from 4575 its sum of digits (21), we obtain a palindrome (4554).
It can be divided in two parts, 45 and 75, that multiplied together give a cube (3375 = 153).
It is an interprime number because it is at equal distance from previous prime (4567) and next prime (4583).
It is not a de Polignac number, because 4575 - 23 = 4567 is a prime.
It is a Duffinian number.
It is a plaindrome in base 11 and base 16.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 105.
4575 is a deficient number, since it is larger than the sum of its proper divisors (3113).
4575 is a wasteful number, since it uses less digits than its factorization.
4575 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 69 counting only the distinct ones).
The product of its digits is 700, while the sum is 21.
The square root of 4575 is about 67.6387462923.
The cubic root of 4575 is about 16.6008515555.
The spelling of 4575 in words is "four thousand, five hundred seventy-five".