13410 has 24 divisors (see below), whose sum is σ = 35100. Its totient is φ = 3552.

The previous prime is 13399. The next prime is 13411. The reversal of 13410 is 1431.

13410 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 1089 = 111^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13392 and 13401.

It is not an unprimeable number, because it can be changed into a prime (13411) by changing a digit.

13410 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16 + ... + 164.

2¹³⁴¹⁰ is an apocalyptic number.

13410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550).

13410 is an abundant number, since it is smaller than the sum of its proper divisors (21690).

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

13410 is a wasteful number, since it uses less digits than its factorization.

13410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13410 is about 115.8015543937. The cubic root of 13410 is about 23.7579843884.

Adding to 13410 its reverse (1431), we get a palindrome (14841).

It can be divided in two parts, 134 and 10, that added together give a square (144 = 12²).

The spelling of 13410 in words is "thirteen thousand, four hundred ten".