14038541 has 12 divisors (see below), whose sum is σ = 15540252. Its totient is φ = 12672000.

The previous prime is 14038529. The next prime is 14038543. The reversal of 14038541 is 14583041.

14038541 = 110² + 111² + ... + 351².

14038541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5541316 + 8497225 = 2354^2 + 2915^2 .

It is not a de Polignac number, because 14038541 - 2¹⁸ = 13776397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14038541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14038543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21581 + ... + 22221.

It is an arithmetic number, because the mean of its divisors is an integer number (1295021).

Almost surely, 2^14038541 is an apocalyptic number.

14038541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14038541 is a deficient number, since it is larger than the sum of its proper divisors (1501711).

14038541 is a wasteful number, since it uses less digits than its factorization.

14038541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 14038541 is about 3746.8041048339. The cubic root of 14038541 is about 241.2351887602.

The spelling of 14038541 in words is "fourteen million, thirty-eight thousand, five hundred forty-one".