37638001 has 4 divisors (see below), whose sum is σ = 37695604. Its totient is φ = 37580400.

The previous prime is 37637989. The next prime is 37638043. The reversal of 37638001 is 10083673.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10083673 = 127 ⋅79399.

It can be written as a sum of positive squares in 2 ways, for example, as 24850225 + 12787776 = 4985^2 + 3576^2 .

It is a cyclic number.

It is not a de Polignac number, because 37638001 - 2¹⁵ = 37605233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37638091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27810 + ... + 29131.

It is an arithmetic number, because the mean of its divisors is an integer number (9423901).

Almost surely, 2^37638001 is an apocalyptic number.

It is an amenable number.

37638001 is a deficient number, since it is larger than the sum of its proper divisors (57603).

37638001 is an equidigital number, since it uses as much as digits as its factorization.

37638001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57602.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 37638001 is about 6134.9817440641. The cubic root of 37638001 is about 335.1265609274.

The spelling of 37638001 in words is "thirty-seven million, six hundred thirty-eight thousand, one".