13007414 has 64 divisors (see below), whose sum is σ = 25546752. Its totient is φ = 4838400.

The previous prime is 13007411. The next prime is 13007417. The reversal of 13007414 is 41470031.

13007414 = T₇₁ + T₇₂ + ... + T₄₂₇.

It is an interprime number because it is at equal distance from previous prime (13007411) and next prime (13007417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302477 + ... + 302519.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^13007414 is an apocalyptic number.

13007414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13007414 is a deficient number, since it is larger than the sum of its proper divisors (12539338).

13007414 is a wasteful number, since it uses less digits than its factorization.

13007414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13007414 is about 3606.5792657309. The cubic root of 13007414 is about 235.1781597526.

Adding to 13007414 its reverse (41470031), we get a palindrome (54477445).

The spelling of 13007414 in words is "thirteen million, seven thousand, four hundred fourteen".