14182000 has 80 divisors (see below), whose sum is σ = 39229632. Its totient is φ = 4857600.

The previous prime is 14181997. The next prime is 14182009. The reversal of 14182000 is 28141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14182000² = 402258248000000, which contains 22 as substring.

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 (14182009) 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 15 ways as a sum of consecutive naturals, for example, 13494 + ... + 14506.

Almost surely, 2^14182000 is an apocalyptic number.

14182000 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 14182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19614816).

14182000 is an abundant number, since it is smaller than the sum of its proper divisors (25047632).

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

14182000 is a wasteful number, since it uses less digits than its factorization.

14182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 14182000 is about 3765.8996269152. The cubic root of 14182000 is about 242.0541280922.

The spelling of 14182000 in words is "fourteen million, one hundred eighty-two thousand".