13414401 has 48 divisors (see below), whose sum is σ = 26033280. Its totient is φ = 6428160.

The previous prime is 13414397. The next prime is 13414403. The reversal of 13414401 is 10441431.

It is not a de Polignac number, because 13414401 - 2² = 13414397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13414403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8265 + ... + 9753.

It is an arithmetic number, because the mean of its divisors is an integer number (542360).

It is a Proth number, since it is equal to 3275 ⋅ 2¹² + 1 and 3275 < 2¹².

Almost surely, 2^13414401 is an apocalyptic number.

13414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13414401 is a deficient number, since it is larger than the sum of its proper divisors (12618879).

13414401 is a wasteful number, since it uses less digits than its factorization.

13414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13414401 is about 3662.5675420393. The cubic root of 13414401 is about 237.6058313197.

Adding to 13414401 its reverse (10441431), we get a palindrome (23855832).

It can be divided in two parts, 134 and 14401, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13414401 in words is "thirteen million, four hundred fourteen thousand, four hundred one".