38121 has 8 divisors (see below), whose sum is σ = 51744. Its totient is φ = 24960.

The previous prime is 38119. The next prime is 38149. The reversal of 38121 is 12183.

It can be divided in two parts, 381 and 21, that multiplied together give a triangular number (8001 = T_{126}).

It is a happy number.

38121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 38121 - 2^{1} = 38119 is a prime.

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

It is a Curzon number.

38121 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 38121.

It is not an unprimeable number, because it can be changed into a prime (38321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2^{38121} is an apocalyptic number.

It is an amenable number.

38121 is a deficient number, since it is larger than the sum of its proper divisors (13623).

38121 is a wasteful number, since it uses less digits than its factorization.

38121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 48, while the sum is 15.

The square root of 38121 is about 195.2459986786. The cubic root of 38121 is about 33.6554003845.

The spelling of 38121 in words is "thirty-eight thousand, one hundred twenty-one".

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