3481 has 3 divisors (see below), whose sum is σ = 3541. Its totient is φ = 3422.

The previous prime is 3469. The next prime is 3491. The reversal of 3481 is 1843.

Multipling 3481 by its sum of digits (16), we get a square (55696 = 236^{2}).

It can be divided in two parts, 3 and 481, that added together give a palindrome (484).

3481 = T_{58} + T_{59}.

The square root of 3481 is 59.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1843 = 19 ⋅97.

It is not a de Polignac number, because 3481 - 2^{5} = 3449 is a prime.

It is a super-2 number, since 2×3481^{2} = 24234722, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

3481 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3461) 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 in 2 ways as a sum of consecutive naturals, for example, 30 + ... + 88.

2^{3481} is an apocalyptic number.

3481 is the 59-th square number.

3481 is the 30-th centered octagonal number.

It is an amenable number.

3481 is a deficient number, since it is larger than the sum of its proper divisors (60).

3481 is an frugal number, since it uses more digits than its factorization.

3481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The cubic root of 3481 is about 15.1554210940.

The spelling of 3481 in words is "three thousand, four hundred eighty-one".

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