37601 has 4 divisors (see below), whose sum is σ = 39600. Its totient is φ = 35604.

The previous prime is 37591. The next prime is 37607. The reversal of 37601 is 10673.

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 an emirpimes, since its reverse is a distinct semiprime: 10673 = 13 ⋅821.

It is a cyclic number.

It is not a de Polignac number, because 37601 - 2⁶ = 37537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37601.

It is not an unprimeable number, because it can be changed into a prime (37607) 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, 971 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2³⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

37601 is a deficient number, since it is larger than the sum of its proper divisors (1999).

37601 is a wasteful number, since it uses less digits than its factorization.

37601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 37601 is about 193.9097728326. The cubic root of 37601 is about 33.5016706674.

The spelling of 37601 in words is "thirty-seven thousand, six hundred one".