13976352 has 72 divisors (see below), whose sum is σ = 42814044. Its totient is φ = 4299264.

The previous prime is 13976351. The next prime is 13976353. The reversal of 13976352 is 25367931.

13976352 is a `hidden beast` number, since 13 + 9 + 7 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13976351) and next prime (13976353).

It can be written as a sum of positive squares in 2 ways, for example, as 13571856 + 404496 = 3684^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13976351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878 + ... + 5610.

Almost surely, 2^13976352 is an apocalyptic number.

13976352 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 13976352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407022).

13976352 is an abundant number, since it is smaller than the sum of its proper divisors (28837692).

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

13976352 is a wasteful number, since it uses less digits than its factorization.

13976352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3751 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13976352 is about 3738.4959542575. The cubic root of 13976352 is about 240.8784474524.

The spelling of 13976352 in words is "thirteen million, nine hundred seventy-six thousand, three hundred fifty-two".