14131964 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5180160.

The previous prime is 14131951. The next prime is 14131969. The reversal of 14131964 is 46913141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3887 + ... + 6585.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^14131964 is an apocalyptic number.

14131964 is a gapful number since it is divisible by the number (14) 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 14131964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

14131964 is an abundant number, since it is smaller than the sum of its proper divisors (18527236).

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

14131964 is a wasteful number, since it uses less digits than its factorization.

14131964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2736 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 14131964 is about 3759.2504572055. The cubic root of 14131964 is about 241.7691261670.

The spelling of 14131964 in words is "fourteen million, one hundred thirty-one thousand, nine hundred sixty-four".