10537 has 4 divisors (see below), whose sum is σ = 10836. Its totient is φ = 10240.

The previous prime is 10531. The next prime is 10559. The reversal of 10537 is 73501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73501 = 31 ⋅2371.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 4761 = 76^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 10537 - 2³ = 10529 is a prime.

It is a super-2 number, since 2×10537² = 222056738, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

10537 is an undulating number in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10537.

It is not an unprimeable number, because it can be changed into a prime (10531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (2709).

2¹⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

10537 is a deficient number, since it is larger than the sum of its proper divisors (299).

10537 is an equidigital number, since it uses as much as digits as its factorization.

10537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10537 is about 102.6498904042. The cubic root of 10537 is about 21.9232865319.

The spelling of 10537 in words is "ten thousand, five hundred thirty-seven".