1005210 has 80 divisors (see below), whose sum is σ = 2901096. Its totient is φ = 248832.

The previous prime is 1005209. The next prime is 1005217. The reversal of 1005210 is 125001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 927369 + 77841 = 963^2 + 279^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1005192 and 1005201.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13734 + ... + 13806.

2^1005210 is an apocalyptic number.

1005210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450548).

1005210 is an abundant number, since it is smaller than the sum of its proper divisors (1895886).

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

1005210 is a wasteful number, since it uses less digits than its factorization.

1005210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1005210 is about 1002.6016157976. The cubic root of 1005210 is about 100.1733659355.

The spelling of 1005210 in words is "one million, five thousand, two hundred ten".