14171400 has 72 divisors (see below), whose sum is σ = 47598330. Its totient is φ = 3778560.

The previous prime is 14171369. The next prime is 14171413. The reversal of 14171400 is 417141.

It can be written as a sum of positive squares in 3 ways, for example, as 6320196 + 7851204 = 2514^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2137 + ... + 5736.

Almost surely, 2^14171400 is an apocalyptic number.

14171400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14171400 is an abundant number, since it is smaller than the sum of its proper divisors (33426930).

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

14171400 is a wasteful number, since it uses less digits than its factorization.

14171400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 14171400 is about 3764.4919976007. The cubic root of 14171400 is about 241.9938071862.

Adding to 14171400 its reverse (417141), we get a palindrome (14588541).

The spelling of 14171400 in words is "fourteen million, one hundred seventy-one thousand, four hundred".