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3138 = 23523

3138 has 8 divisors (see below), whose sum is σ = 6288. Its totient is φ = 1044.

The previous prime is 3137. The next prime is 3163. The reversal of 3138 is 8313.

It can be divided in two parts, 3 and 138, that multiplied together give a palindrome (414).

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

3138 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3137) 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, 256 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (786).

3138 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144).

3138 is a wasteful number, since it uses less digits than its factorization.

3138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528.

The product of its digits is 72, while the sum is 15.

The square root of 3138 is about 56.0178542966. The cubic root of 3138 is about 14.6403338334.

The spelling of 3138 in words is "three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 523 1046 1569 3138