4531 has 4 divisors (see below), whose sum is σ = 4752. Its totient is φ = 4312.

The previous prime is 4523. The next prime is 4547. The reversal of 4531 is 1354.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1354 = 2 ⋅677.

It is a cyclic number.

It is not a de Polignac number, because 4531 - 2³ = 4523 is a prime.

It is a super-2 number, since 2×4531² = 41059922, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

4531 is an undulating number in base 14.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (1188).

4531 is a deficient number, since it is larger than the sum of its proper divisors (221).

4531 is a wasteful number, since it uses less digits than its factorization.

4531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 60, while the sum is 13.

The square root of 4531 is about 67.3127031102. The cubic root of 4531 is about 16.5474605378.

Adding to 4531 its reverse (1354), we get a palindrome (5885).

It can be divided in two parts, 453 and 1, that added together give a palindrome (454).

The spelling of 4531 in words is "four thousand, five hundred thirty-one".