4537 has 4 divisors (see below), whose sum is σ = 4900. Its totient is φ = 4176.

The previous prime is 4523. The next prime is 4547. The reversal of 4537 is 7354.

It is the 28-th star number.

4537 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7354 = 2 ⋅3677.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 2601 = 44^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 4537 - 2⁷ = 4409 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4507) 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, 162 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (1225).

2⁴⁵³⁷ is an apocalyptic number.

It is an amenable number.

4537 is a deficient number, since it is larger than the sum of its proper divisors (363).

4537 is a wasteful number, since it uses less digits than its factorization.

4537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362.

The product of its digits is 420, while the sum is 19.

The square root of 4537 is about 67.3572564762. The cubic root of 4537 is about 16.5547614258.

The spelling of 4537 in words is "four thousand, five hundred thirty-seven".