13741000 has 128 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 4320000.

The previous prime is 13740997. The next prime is 13741001. The reversal of 13741000 is 14731.

13741000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13741000 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90925 + ... + 91075.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^13741000 is an apocalyptic number.

13741000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

13741000 is an abundant number, since it is smaller than the sum of its proper divisors (26095160).

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

13741000 is a wasteful number, since it uses less digits than its factorization.

13741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13741000 is about 3706.8854851479. The cubic root of 13741000 is about 239.5187114098.

Adding to 13741000 its reverse (14731), we get a palindrome (13755731).

The spelling of 13741000 in words is "thirteen million, seven hundred forty-one thousand".