37006 has 4 divisors (see below), whose sum is σ = 55512. Its totient is φ = 18502.

The previous prime is 37003. The next prime is 37013. The reversal of 37006 is 60073.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 60073 = 13 ⋅4621.

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37006.

It is not an unprimeable number, because it can be changed into a prime (37003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9250 + ... + 9253.

It is an arithmetic number, because the mean of its divisors is an integer number (13878).

2³⁷⁰⁰⁶ is an apocalyptic number.

37006 is a deficient number, since it is larger than the sum of its proper divisors (18506).

37006 is a wasteful number, since it uses less digits than its factorization.

37006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 37006 is about 192.3694362418. The cubic root of 37006 is about 33.3240196201.

Adding to 37006 its reverse (60073), we get a palindrome (97079).

The spelling of 37006 in words is "thirty-seven thousand, six".