1356 has 12 divisors (see below), whose sum is σ = 3192. Its totient is φ = 448.

The previous prime is 1327. The next prime is 1361. The reversal of 1356 is 6531.

Adding to 1356 its reverse (6531), we get a palindrome (7887).

It can be divided in two parts, 135 and 6, that added together give a palindrome (141).

1356 = 8^{2} + 9^{2} + ... + 16^{2}.

1356 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (12).

1356 is an undulating number in base 15.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (266).

It is an amenable number.

1356 is an abundant number, since it is smaller than the sum of its proper divisors (1836).

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 (1596).

1356 is a wasteful number, since it uses less digits than its factorization.

1356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 1356 is about 36.8239052790. The cubic root of 1356 is about 11.0684437720.

The spelling of 1356 in words is "one thousand, three hundred fifty-six".

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