3126 has 8 divisors (see below), whose sum is σ = 6264. Its totient is φ = 1040.

The previous prime is 3121. The next prime is 3137. The reversal of 3126 is 6213.

Adding to 3126 its reverse (6213), we get a palindrome (9339).

It can be divided in two parts, 3 and 126, that multiplied together give a triangular number (378 = T_{27}).

3126 is nontrivially palindromic in base 5.

3126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5^{5}+1.

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

3126 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3126.

It is not an unprimeable number, because it can be changed into a prime (3121) by changing a digit.

3126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (783).

2^{3126} is an apocalyptic number.

3126 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 (3132).

3126 is a wasteful number, since it uses less digits than its factorization.

3126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526.

The product of its digits is 36, while the sum is 12.

The square root of 3126 is about 55.9106429940. The cubic root of 3126 is about 14.6216480009.

The spelling of 3126 in words is "three thousand, one hundred twenty-six".

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