13837542 has 16 divisors (see below), whose sum is σ = 27987120. Its totient is φ = 4560512.

The previous prime is 13837517. The next prime is 13837543. The reversal of 13837542 is 24573831.

13837542 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13837543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12423 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (1749195).

Almost surely, 2^13837542 is an apocalyptic number.

13837542 is an abundant number, since it is smaller than the sum of its proper divisors (14149578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13837542 is a wasteful number, since it uses less digits than its factorization.

13837542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26007.

The product of its digits is 20160, while the sum is 33.

The square root of 13837542 is about 3719.8846756318. The cubic root of 13837542 is about 240.0783424797.

The spelling of 13837542 in words is "thirteen million, eight hundred thirty-seven thousand, five hundred forty-two".