13714000 has 40 divisors (see below), whose sum is σ = 33165288. Its totient is φ = 5484800.

The previous prime is 13713977. The next prime is 13714009. The reversal of 13714000 is 41731.

It can be written as a sum of positive squares in 4 ways, for example, as 3904576 + 9809424 = 1976^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13714009) 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, 1429 + ... + 5428.

Almost surely, 2^13714000 is an apocalyptic number.

13714000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13714000 is an abundant number, since it is smaller than the sum of its proper divisors (19451288).

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

13714000 is an equidigital number, since it uses as much as digits as its factorization.

13714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6880 (or 6864 counting only the distinct ones).

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

The square root of 13714000 is about 3703.2418230518. The cubic root of 13714000 is about 239.3617299781.

Adding to 13714000 its reverse (41731), we get a palindrome (13755731).

The spelling of 13714000 in words is "thirteen million, seven hundred fourteen thousand".