13730067 has 60 divisors (see below), whose sum is σ = 23914440. Its totient is φ = 7817472.

The previous prime is 13730053. The next prime is 13730077. The reversal of 13730067 is 76003731.

It is not a de Polignac number, because 13730067 - 2⁸ = 13729811 is a prime.

It is a super-4 number, since 4×13730067⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13730067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730047) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232684 + ... + 232742.

It is an arithmetic number, because the mean of its divisors is an integer number (398574).

Almost surely, 2^13730067 is an apocalyptic number.

13730067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13730067 is a deficient number, since it is larger than the sum of its proper divisors (10184373).

13730067 is a wasteful number, since it uses less digits than its factorization.

13730067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 13730067 is about 3705.4105035745. The cubic root of 13730067 is about 239.4551703553.

Adding to 13730067 its reverse (76003731), we get a palindrome (89733798).

The spelling of 13730067 in words is "thirteen million, seven hundred thirty thousand, sixty-seven".