13814007 has 32 divisors (see below), whose sum is σ = 20805120. Its totient is φ = 8110080.

The previous prime is 13813997. The next prime is 13814027. The reversal of 13814007 is 70041831.

It is not a de Polignac number, because 13814007 - 2⁴ = 13813991 is a prime.

It is a cake number, because a cake can be divided into 13814007 parts by 436 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53623 + ... + 53879.

It is an arithmetic number, because the mean of its divisors is an integer number (650160).

Almost surely, 2^13814007 is an apocalyptic number.

13814007 is a deficient number, since it is larger than the sum of its proper divisors (6991113).

13814007 is a wasteful number, since it uses less digits than its factorization.

13814007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13814007 is about 3716.7199248800. The cubic root of 13814007 is about 239.9421561987.

Adding to 13814007 its reverse (70041831), we get a palindrome (83855838).

The spelling of 13814007 in words is "thirteen million, eight hundred fourteen thousand, seven".