66537 has 6 divisors (see below), whose sum is σ = 96122. Its totient is φ = 44352.

The previous prime is 66533. The next prime is 66541. The reversal of 66537 is 73566.

66537 is a `hidden beast` number, since 6 + 653 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (66533) and next prime (66541).

It can be written as a sum of positive squares in only one way, i.e., 46656 + 19881 = 216^2 + 141^2 .

It is not a de Polignac number, because 66537 - 2² = 66533 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 66537.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66537.

It is not an unprimeable number, because it can be changed into a prime (66533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3688 + ... + 3705.

2⁶⁶⁵³⁷ is an apocalyptic number.

It is an amenable number.

66537 is a deficient number, since it is larger than the sum of its proper divisors (29585).

66537 is a wasteful number, since it uses less digits than its factorization.

66537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7396 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 66537 is about 257.9476691114. The cubic root of 66537 is about 40.5217076130.

Adding to 66537 its sum of digits (27), we get a square (66564 = 258²).

The spelling of 66537 in words is "sixty-six thousand, five hundred thirty-seven".