37009 has 8 divisors (see below), whose sum is σ = 44928. Its totient is φ = 29760.

The previous prime is 37003. The next prime is 37013. The reversal of 37009 is 90073.

37009 = 15² + 16² + ... + 48².

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 37009 - 2⁹ = 36497 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2³⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

37009 is a deficient number, since it is larger than the sum of its proper divisors (7919).

37009 is a wasteful number, since it uses less digits than its factorization.

37009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 37009 is about 192.3772335803. The cubic root of 37009 is about 33.3249200989.

The spelling of 37009 in words is "thirty-seven thousand, nine".