14971905 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 6967296.

The previous prime is 14971889. The next prime is 14971907. The reversal of 14971905 is 50917941.

It is not a de Polignac number, because 14971905 - 2⁴ = 14971889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14971905.

It is not an unprimeable number, because it can be changed into a prime (14971907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33121 + ... + 33569.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 2^14971905 is an apocalyptic number.

14971905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14971905 is an abundant number, since it is smaller than the sum of its proper divisors (15268095).

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

14971905 is a wasteful number, since it uses less digits than its factorization.

14971905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 14971905 is about 3869.3545973457. The cubic root of 14971905 is about 246.4671373614.

It can be divided in two parts, 14971 and 905, that added together give a square (15876 = 126²).

The spelling of 14971905 in words is "fourteen million, nine hundred seventy-one thousand, nine hundred five".