1005214 has 16 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 408024.

The previous prime is 1005209. The next prime is 1005217. The reversal of 1005214 is 4125001.

1005214 = 12² + 13² + ... + 144².

It is a junction number, because it is equal to n+sod(n) for n = 1005194 and 1005203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005217) by changing a digit.

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, 1624 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

2^1005214 is an apocalyptic number.

1005214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005214 is a deficient number, since it is larger than the sum of its proper divisors (809186).

1005214 is a wasteful number, since it uses less digits than its factorization.

1005214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1005214 is about 1002.6036106059. The cubic root of 1005214 is about 100.1734988076.

The spelling of 1005214 in words is "one million, five thousand, two hundred fourteen".