2814 has 16 divisors (see below), whose sum is σ = 6528. Its totient is φ = 792.

The previous prime is 2803. The next prime is 2819. The reversal of 2814 is 4182.

Adding to 2814 its reverse (4182), we get a palindrome (6996).

2814 = 25^{2} + 26^{2} + ... + 28^{2}.

2814 is nontrivially palindromic in base 5.

2814 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2793 and 2802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 75.

It is an arithmetic number, because the mean of its divisors is an integer number (408).

2^{2814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264).

2814 is an abundant number, since it is smaller than the sum of its proper divisors (3714).

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

2814 is a wasteful number, since it uses less digits than its factorization.

2814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its digits is 64, while the sum is 15.

The square root of 2814 is about 53.0471488395. The cubic root of 2814 is about 14.1180494166.

The spelling of 2814 in words is "two thousand, eight hundred fourteen".

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