13976172 has 144 divisors (see below), whose sum is σ = 44688000. Its totient is φ = 3755808.

The previous prime is 13976147. The next prime is 13976177. The reversal of 13976172 is 27167931.

It is a happy number.

13976172 is a `hidden beast` number, since 1 + 39 + 7 + 617 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13976177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100479 + ... + 100617.

Almost surely, 2^13976172 is an apocalyptic number.

13976172 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 13976172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344000).

13976172 is an abundant number, since it is smaller than the sum of its proper divisors (30711828).

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

13976172 is a wasteful number, since it uses less digits than its factorization.

13976172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13976172 is about 3738.4718803276. The cubic root of 13976172 is about 240.8774133651.

It can be divided in two parts, 1397 and 6172, that added together give a square (7569 = 87²).

The spelling of 13976172 in words is "thirteen million, nine hundred seventy-six thousand, one hundred seventy-two".