13642667 has 2 divisors, whose sum is σ = 13642668. Its totient is φ = 13642666.

The previous prime is 13642649. The next prime is 13642669. The reversal of 13642667 is 76624631.

13642667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (76624631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13642667 - 2¹⁶ = 13577131 is a prime.

It is a super-2 number, since 2×13642667² = 372244725745778, which contains 22 as substring.

Together with 13642669, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₈₈₈₃₃₅ and since 13642667 and 888335 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13642669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6821333 + 6821334.

It is an arithmetic number, because the mean of its divisors is an integer number (6821334).

Almost surely, 2^13642667 is an apocalyptic number.

13642667 is a deficient number, since it is larger than the sum of its proper divisors (1).

13642667 is an equidigital number, since it uses as much as digits as its factorization.

13642667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 35.

The square root of 13642667 is about 3693.5981102443. The cubic root of 13642667 is about 238.9459971474.

The spelling of 13642667 in words is "thirteen million, six hundred forty-two thousand, six hundred sixty-seven".