37673 has 4 divisors (see below), whose sum is σ = 38148. Its totient is φ = 37200.

The previous prime is 37663. The next prime is 37691.

37673 is nontrivially palindromic in base 10.

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 can be written as a sum of positive squares in 2 ways, for example, as 29929 + 7744 = 173^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 37673 - 2⁴ = 37657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37673.

It is not an unprimeable number, because it can be changed into a prime (37633) 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, 86 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (9537).

2³⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

37673 is a deficient number, since it is larger than the sum of its proper divisors (475).

37673 is a wasteful number, since it uses less digits than its factorization.

37673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474.

The product of its digits is 2646, while the sum is 26.

The square root of 37673 is about 194.0953373989. The cubic root of 37673 is about 33.5230405096.

The spelling of 37673 in words is "thirty-seven thousand, six hundred seventy-three".