3136 has 21 divisors (see below), whose sum is σ = 7239. Its totient is φ = 1344.

The previous prime is 3121. The next prime is 3137. The reversal of 3136 is 6313.

Adding to 3136 its reverse (6313), we get a palindrome (9449).

3136 = T_{55} + T_{56}.

The square root of 3136 is 56.

It is a perfect power (a square), and thus also a powerful number.

3136 is nontrivially palindromic in base 3.

It is a tribonacci number.

It is a Duffinian number.

Its product of digits (54) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3137) by changing a digit.

3136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 445 + ... + 451.

3136 is the 56-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136

3136 is an abundant number, since it is smaller than the sum of its proper divisors (4103).

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

3136 is an equidigital number, since it uses as much as digits as its factorization.

3136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 9 counting only the distinct ones).

The product of its digits is 54, while the sum is 13.

The cubic root of 3136 is about 14.6372228401.

The spelling of 3136 in words is "three thousand, one hundred thirty-six".

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