13329765 has 64 divisors (see below), whose sum is σ = 25505280. Its totient is φ = 6671808.

The previous prime is 13329761. The next prime is 13329769. The reversal of 13329765 is 56792331.

It is an interprime number because it is at equal distance from previous prime (13329761) and next prime (13329769).

It is not a de Polignac number, because 13329765 - 2² = 13329761 is a prime.

Its product of digits (34020) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13329761) 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 63 ways as a sum of consecutive naturals, for example, 251479 + ... + 251531.

It is an arithmetic number, because the mean of its divisors is an integer number (398520).

Almost surely, 2^13329765 is an apocalyptic number.

13329765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13329765 is a deficient number, since it is larger than the sum of its proper divisors (12175515).

13329765 is an frugal number, since it uses more digits than its factorization.

13329765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13329765 is about 3650.9950698405. The cubic root of 13329765 is about 237.1050647771.

Adding to 13329765 its sum of digits (36), we get a square (13329801 = 3651²).

The spelling of 13329765 in words is "thirteen million, three hundred twenty-nine thousand, seven hundred sixty-five".