1537 has 4 divisors (see below), whose sum is σ = 1620. Its totient is φ = 1456.

The previous prime is 1531. The next prime is 1543. The reversal of 1537 is 7351.

1537 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (1531) and next prime (1543).

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 576 = 31^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 1537 - 2⁷ = 1409 is a prime.

1537 is a repfigit number.

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1537.

It is not an unprimeable number, because it can be changed into a prime (1531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 55.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

It is a Proth number, since it is equal to 3 ⋅ 2⁹ + 1 and 3 < 2⁹.

It is an amenable number.

1537 is a deficient number, since it is larger than the sum of its proper divisors (83).

1537 is an equidigital number, since it uses as much as digits as its factorization.

1537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

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

The square root of 1537 is about 39.2045915678. The cubic root of 1537 is about 11.5404999248.

Subtracting from 1537 its sum of digits (16), we obtain a square (1521 = 39²).

Adding to 1537 its reverse (7351), we get a palindrome (8888).

It can be divided in two parts, 15 and 37, that multiplied together give a palindrome (555).

The spelling of 1537 in words is "one thousand, five hundred thirty-seven".