14854100 has 36 divisors (see below), whose sum is σ = 32615100. Its totient is φ = 5871360.

The previous prime is 14854097. The next prime is 14854109. The reversal of 14854100 is 145841.

It can be written as a sum of positive squares in 6 ways, for example, as 1223236 + 13630864 = 1106^2 + 3692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14854109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8066 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (905975).

Almost surely, 2^14854100 is an apocalyptic number.

14854100 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 14854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307550).

14854100 is an abundant number, since it is smaller than the sum of its proper divisors (17761000).

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

14854100 is a wasteful number, since it uses less digits than its factorization.

14854100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 14854100 is about 3854.1017111644. The cubic root of 14854100 is about 245.8190000900.

Adding to 14854100 its reverse (145841), we get a palindrome (14999941).

The spelling of 14854100 in words is "fourteen million, eight hundred fifty-four thousand, one hundred".