3316 has 6 divisors (see below), whose sum is σ = 5810. Its totient is φ = 1656.

The previous prime is 3313. The next prime is 3319. The reversal of 3316 is 6133.

It is an interprime number because it is at equal distance from previous prime (3313) and next prime (3319).

It can be written as a sum of positive squares in only one way, i.e., 2916 + 400 = 54^2 + 20^2 .

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 3.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3296 and 3305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313) 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 as a sum of consecutive naturals, namely, 411 + ... + 418.

2^{3316} is an apocalyptic number.

It is an amenable number.

3316 is a deficient number, since it is larger than the sum of its proper divisors (2494).

3316 is a wasteful number, since it uses less digits than its factorization.

3316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

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

The square root of 3316 is about 57.5847201956. The cubic root of 3316 is about 14.9120782506.

Adding to 3316 its reverse (6133), we get a palindrome (9449).

It can be divided in two parts, 33 and 16, that multiplied together give a triangular number (528 = T_{32}).

The spelling of 3316 in words is "three thousand, three hundred sixteen".

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