1352 has 12 divisors (see below), whose sum is σ = 2745. Its totient is φ = 624.

The previous prime is 1327. The next prime is 1361. The reversal of 1352 is 2531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1352 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 196 = 34^2 + 14^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=26.

It is a Duffinian number.

Its product of digits (30) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 98 + ... + 110.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352

1352 is an abundant number, since it is smaller than the sum of its proper divisors (1393).

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

1352 is a wasteful number, since it uses less digits than its factorization.

1352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 15 counting only the distinct ones).

The product of its digits is 30, while the sum is 11.

The square root of 1352 is about 36.7695526217. The cubic root of 1352 is about 11.0575496274.

Adding to 1352 its reverse (2531), we get a palindrome (3883).

It can be divided in two parts, 13 and 52, that multiplied together give a palindrome (676).

The spelling of 1352 in words is "one thousand, three hundred fifty-two".

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