37001 has 4 divisors (see below), whose sum is σ = 37392. Its totient is φ = 36612.

The previous prime is 36997. The next prime is 37003. The reversal of 37001 is 10073.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10073 = 7 ⋅1439.

It is a cyclic number.

It is not a de Polignac number, because 37001 - 2² = 36997 is a prime.

It is a super-3 number, since 3×37001³ = 151971321333003, which contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37001.

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 3 ways as a sum of consecutive naturals, for example, 50 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (9348).

2³⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

37001 is a deficient number, since it is larger than the sum of its proper divisors (391).

37001 is a wasteful number, since it uses less digits than its factorization.

37001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 37001 is about 192.3564399754. The cubic root of 37001 is about 33.3225187139.

Adding to 37001 its reverse (10073), we get a palindrome (47074).

The spelling of 37001 in words is "thirty-seven thousand, one".