1005220 has 12 divisors (see below), whose sum is σ = 2111004. Its totient is φ = 402080.

The previous prime is 1005217. The next prime is 1005223. The reversal of 1005220 is 225001.

1005220 = T₃₀₇ + T₃₀₈ + ... + T₃₂₆.

It is an interprime number because it is at equal distance from previous prime (1005217) and next prime (1005223).

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 732736 = 522^2 + 856^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1005197 and 1005206.

It is not an unprimeable number, because it can be changed into a prime (1005223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25111 + ... + 25150.

It is an arithmetic number, because the mean of its divisors is an integer number (175917).

2^1005220 is an apocalyptic number.

1005220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005220 is an abundant number, since it is smaller than the sum of its proper divisors (1105784).

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

1005220 is a wasteful number, since it uses less digits than its factorization.

1005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50270 (or 50268 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1005220 is about 1002.6066028109. The cubic root of 1005220 is about 100.1736981150.

It can be divided in two parts, 1005 and 220, that added together give a triangular number (1225 = T₄₉).

The spelling of 1005220 in words is "one million, five thousand, two hundred twenty".