14414985 has 48 divisors (see below), whose sum is σ = 27610128. Its totient is φ = 6912000.

The previous prime is 14414921. The next prime is 14414989. The reversal of 14414985 is 58941441.

It can be written as a sum of positive squares in 8 ways, for example, as 1798281 + 12616704 = 1341^2 + 3552^2 .

It is not a de Polignac number, because 14414985 - 2⁶ = 14414921 is a prime.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14414989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23685 + ... + 24285.

It is an arithmetic number, because the mean of its divisors is an integer number (575211).

Almost surely, 2^14414985 is an apocalyptic number.

14414985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14414985 is a deficient number, since it is larger than the sum of its proper divisors (13195143).

14414985 is a wasteful number, since it uses less digits than its factorization.

14414985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 14414985 is about 3796.7071259185. The cubic root of 14414985 is about 243.3724411196.

It can be divided in two parts, 144 and 14985, that added together give a square (15129 = 123²).

The spelling of 14414985 in words is "fourteen million, four hundred fourteen thousand, nine hundred eighty-five".