38661 has 12 divisors (see below), whose sum is σ = 60192. Its totient is φ = 22008.

The previous prime is 38653. The next prime is 38669. The reversal of 38661 is 16683.

It is an interprime number because it is at equal distance from previous prime (38653) and next prime (38669).

It is not a de Polignac number, because 38661 - 2³ = 38653 is a prime.

It is a Curzon number.

38661 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38669) 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 11 ways as a sum of consecutive naturals, for example, 16 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (5016).

2³⁸⁶⁶¹ is an apocalyptic number.

It is an amenable number.

38661 is a deficient number, since it is larger than the sum of its proper divisors (21531).

38661 is a wasteful number, since it uses less digits than its factorization.

38661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 38661 is about 196.6240066726. The cubic root of 38661 is about 33.8135701728.

The spelling of 38661 in words is "thirty-eight thousand, six hundred sixty-one".