37666 has 8 divisors (see below), whose sum is σ = 58140. Its totient is φ = 18288.

The previous prime is 37663. The next prime is 37691. The reversal of 37666 is 66673.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 5625 = 179^2 + 75^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (37663) 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, 181 + ... + 328.

2³⁷⁶⁶⁶ is an apocalyptic number.

37666 is a deficient number, since it is larger than the sum of its proper divisors (20474).

37666 is a wasteful number, since it uses less digits than its factorization.

37666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548.

The product of its digits is 4536, while the sum is 28.

The square root of 37666 is about 194.0773041857. The cubic root of 37666 is about 33.5209640816.

It can be divided in two parts, 37 and 666, that multiplied together give a palindrome (24642).

The spelling of 37666 in words is "thirty-seven thousand, six hundred sixty-six".