8314000 has 40 divisors (see below), whose sum is σ = 20108088. Its totient is φ = 3324800.

The previous prime is 8313989. The next prime is 8314049. The reversal of 8314000 is 4138.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 7862416 = 672^2 + 2804^2 .

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 (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 4078.

Almost surely, 2^8314000 is an apocalyptic number.

8314000 is a gapful number since it is divisible by the number (80) 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 8314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044).

8314000 is an abundant number, since it is smaller than the sum of its proper divisors (11794088).

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

8314000 is a wasteful number, since it uses less digits than its factorization.

8314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8314000 is about 2883.4007699243. The cubic root of 8314000 is about 202.5831594636.

Adding to 8314000 its reverse (4138), we get a palindrome (8318138).

The spelling of 8314000 in words is "eight million, three hundred fourteen thousand".