14985971 has 24 divisors (see below), whose sum is σ = 20288352. Its totient is φ = 10771200.

The previous prime is 14985967. The next prime is 14985979. The reversal of 14985971 is 17958941.

14985971 = T₅₈₅ + T₅₈₆ + ... + T₆₆₁.

14985971 = 71² + 72² + ... + 356².

It is not a de Polignac number, because 14985971 - 2² = 14985967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14985979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10331 + ... + 11691.

It is an arithmetic number, because the mean of its divisors is an integer number (845348).

Almost surely, 2^14985971 is an apocalyptic number.

14985971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14985971 is a deficient number, since it is larger than the sum of its proper divisors (5302381).

14985971 is a wasteful number, since it uses less digits than its factorization.

14985971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its digits is 90720, while the sum is 44.

The square root of 14985971 is about 3871.1717864233. The cubic root of 14985971 is about 246.5442979196.

The spelling of 14985971 in words is "fourteen million, nine hundred eighty-five thousand, nine hundred seventy-one".