14005000 has 40 divisors (see below), whose sum is σ = 32825430. Its totient is φ = 5600000.

The previous prime is 14004997. The next prime is 14005003. The reversal of 14005000 is 50041.

It is an interprime number because it is at equal distance from previous prime (14004997) and next prime (14005003).

It can be written as a sum of positive squares in 5 ways, for example, as 181476 + 13823524 = 426^2 + 3718^2 .

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

It is a super-2 number, since 2×14005000² = 392280050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3600 + ... + 6400.

Almost surely, 2^14005000 is an apocalyptic number.

14005000 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 14005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412715).

14005000 is an abundant number, since it is smaller than the sum of its proper divisors (18820430).

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

14005000 is an equidigital number, since it uses as much as digits as its factorization.

14005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 14005000 is about 3742.3254802328. The cubic root of 14005000 is about 241.0429151723.

Adding to 14005000 its reverse (50041), we get a palindrome (14055041).

It can be divided in two parts, 1400 and 5000, that added together give a square (6400 = 80²).

The spelling of 14005000 in words is "fourteen million, five thousand".