11314000 has 40 divisors (see below), whose sum is σ = 27362088. Its totient is φ = 4524800.

The previous prime is 11313989. The next prime is 11314007. The reversal of 11314000 is 41311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 9217296 = 1448^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314007) 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, 829 + ... + 4828.

Almost surely, 2^11314000 is an apocalyptic number.

11314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314000 is an abundant number, since it is smaller than the sum of its proper divisors (16048088).

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

11314000 is an equidigital number, since it uses as much as digits as its factorization.

11314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11314000 is about 3363.6289926209. The cubic root of 11314000 is about 224.4943376829.

Adding to 11314000 its reverse (41311), we get a palindrome (11355311).

The spelling of 11314000 in words is "eleven million, three hundred fourteen thousand".