13408 has 12 divisors (see below), whose sum is σ = 26460. Its totient is φ = 6688.

The previous prime is 13399. The next prime is 13411. The reversal of 13408 is 80431.

13408 divided by its sum of digits (16) gives a palindrome (838).

Adding to 13408 its reverse (80431), we get a palindrome (93839).

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 13391 and 13400.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 178 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

It is an amenable number.

13408 is a deficient number, since it is larger than the sum of its proper divisors (13052).

13408 is an equidigital number, since it uses as much as digits as its factorization.

13408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

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

The square root of 13408 is about 115.7929186090. The cubic root of 13408 is about 23.7568032218.

The spelling of 13408 in words is "thirteen thousand, four hundred eight".

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