13977216 has 96 divisors (see below), whose sum is σ = 43917120. Its totient is φ = 4231680.

The previous prime is 13977211. The next prime is 13977251. The reversal of 13977216 is 61277931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13977216² = 390725134221312, which contains 22 as substring.

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

Its product of digits (15876) is a multiple of the sum of its prime factors (1134).

It is not an unprimeable number, because it can be changed into a prime (13977211) 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, 12121 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (457470).

Almost surely, 2^13977216 is an apocalyptic number.

13977216 is a gapful number since it is divisible by the number (16) 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 13977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958560).

13977216 is an abundant number, since it is smaller than the sum of its proper divisors (29939904).

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

13977216 is a wasteful number, since it uses less digits than its factorization.

13977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1119 counting only the distinct ones).

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

The square root of 13977216 is about 3738.6115069635. The cubic root of 13977216 is about 240.8834109482.

The spelling of 13977216 in words is "thirteen million, nine hundred seventy-seven thousand, two hundred sixteen".