1314000 has 120 divisors (see below), whose sum is σ = 4652232. Its totient is φ = 345600.

The previous prime is 1313999. The next prime is 1314011. The reversal of 1314000 is 4131.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 1272384 = 204^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17964 + ... + 18036.

2^1314000 is an apocalyptic number.

1314000 is a gapful number since it is divisible by the number (10) 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 1314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326116).

1314000 is an abundant number, since it is smaller than the sum of its proper divisors (3338232).

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

1314000 is a wasteful number, since it uses less digits than its factorization.

1314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1314000 is about 1146.2983904726. The cubic root of 1314000 is about 109.5296723240.

Adding to 1314000 its reverse (4131), we get a palindrome (1318131).

The spelling of 1314000 in words is "one million, three hundred fourteen thousand".