14971964 has 24 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 6381936.

The previous prime is 14971963. The next prime is 14971973. The reversal of 14971964 is 46917941.

14971964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14971964³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14971963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4229 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (1254400).

Almost surely, 2^14971964 is an apocalyptic number.

14971964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14971964 is an abundant number, since it is smaller than the sum of its proper divisors (15133636).

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

14971964 is a wasteful number, since it uses less digits than its factorization.

14971964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2895 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 14971964 is about 3869.3622213486. The cubic root of 14971964 is about 246.4674611131.

The spelling of 14971964 in words is "fourteen million, nine hundred seventy-one thousand, nine hundred sixty-four".