13764114 has 64 divisors (see below), whose sum is σ = 37658880. Its totient is φ = 3628800.

The previous prime is 13764109. The next prime is 13764119. The reversal of 13764114 is 41146731.

It is a happy number.

13764114 is a `hidden beast` number, since 1 + 3 + 7 + 641 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (13764109) and next prime (13764119).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3514 + ... + 6314.

It is an arithmetic number, because the mean of its divisors is an integer number (588420).

Almost surely, 2^13764114 is an apocalyptic number.

13764114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13764114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829440).

13764114 is an abundant number, since it is smaller than the sum of its proper divisors (23894766).

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

13764114 is a wasteful number, since it uses less digits than its factorization.

13764114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2826 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13764114 is about 3710.0018867920. The cubic root of 13764114 is about 239.6529358522.

The spelling of 13764114 in words is "thirteen million, seven hundred sixty-four thousand, one hundred fourteen".