13722009 has 48 divisors (see below), whose sum is σ = 23803200. Its totient is φ = 6991488.

The previous prime is 13721993. The next prime is 13722019. The reversal of 13722009 is 90022731.

13722009 = 505² + 506² + ... + 553².

It is not a de Polignac number, because 13722009 - 2⁴ = 13721993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13722009.

It is not an unprimeable number, because it can be changed into a prime (13722019) 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 47 ways as a sum of consecutive naturals, for example, 722202 + ... + 722220.

It is an arithmetic number, because the mean of its divisors is an integer number (495900).

Almost surely, 2^13722009 is an apocalyptic number.

13722009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13722009 is a deficient number, since it is larger than the sum of its proper divisors (10081191).

13722009 is an equidigital number, since it uses as much as digits as its factorization.

13722009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13722009 is about 3704.3230150731. The cubic root of 13722009 is about 239.4083168001.

The spelling of 13722009 in words is "thirteen million, seven hundred twenty-two thousand, nine".