13733967 has 32 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 7920000.

The previous prime is 13733963. The next prime is 13733981. The reversal of 13733967 is 76933731.

It is not a de Polignac number, because 13733967 - 2² = 13733963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13733963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54592 + ... + 54842.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^13733967 is an apocalyptic number.

13733967 is a deficient number, since it is larger than the sum of its proper divisors (7264689).

13733967 is a wasteful number, since it uses less digits than its factorization.

13733967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 71442, while the sum is 39.

The square root of 13733967 is about 3705.9367236908. The cubic root of 13733967 is about 239.4778404743.

The spelling of 13733967 in words is "thirteen million, seven hundred thirty-three thousand, nine hundred sixty-seven".