13968345 has 16 divisors (see below), whose sum is σ = 22568832. Its totient is φ = 7376640.

The previous prime is 13968341. The next prime is 13968347. The reversal of 13968345 is 54386931.

It is not a de Polignac number, because 13968345 - 2² = 13968341 is a prime.

It is a super-5 number, since 5×13968345⁵ (a number of 37 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13968341) 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 15 ways as a sum of consecutive naturals, for example, 2976 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (1410552).

Almost surely, 2^13968345 is an apocalyptic number.

13968345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13968345 is a deficient number, since it is larger than the sum of its proper divisors (8600487).

13968345 is a wasteful number, since it uses less digits than its factorization.

13968345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152.

The product of its digits is 77760, while the sum is 39.

The square root of 13968345 is about 3737.4249156338. The cubic root of 13968345 is about 240.8324392102.

It can be divided in two parts, 13968 and 345, that multiplied together give a triangular number (4818960 = T₃₁₀₄).

The spelling of 13968345 in words is "thirteen million, nine hundred sixty-eight thousand, three hundred forty-five".