14971392 has 150 divisors (see below), whose sum is σ = 47161323. Its totient is φ = 4727808.

The previous prime is 14971391. The next prime is 14971393. The reversal of 14971392 is 29317941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (14971391) and next prime (14971393).

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 7485696 = 2736^2 + 2736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2736.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (13608) is a multiple of the sum of its prime divisors (24).

It is not an unprimeable number, because it can be changed into a prime (14971391) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 787959 + ... + 787977.

Almost surely, 2^14971392 is an apocalyptic number.

14971392 is a gapful number since it is divisible by the number (12) 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 14971392

14971392 is an abundant number, since it is smaller than the sum of its proper divisors (32189931).

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

14971392 is an frugal number, since it uses more digits than its factorization.

14971392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 24 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14971392 is about 3869.2883066528. The cubic root of 14971392 is about 246.4643223314.

The spelling of 14971392 in words is "fourteen million, nine hundred seventy-one thousand, three hundred ninety-two".