38701 has 6 divisors (see below), whose sum is σ = 42090. Its totient is φ = 35568.

The previous prime is 38699. The next prime is 38707. The reversal of 38701 is 10783.

It can be written as a sum of positive squares in 3 ways, for example, as 2601 + 36100 = 51^2 + 190^2 .

It is not a de Polignac number, because 38701 - 2¹ = 38699 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38707) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (7015).

2³⁸⁷⁰¹ is an apocalyptic number.

It is an amenable number.

38701 is a deficient number, since it is larger than the sum of its proper divisors (3389).

38701 is a wasteful number, since it uses less digits than its factorization.

38701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 38701 is about 196.7256973555. The cubic root of 38701 is about 33.8252277141.

The spelling of 38701 in words is "thirty-eight thousand, seven hundred one".