1005207 has 16 divisors (see below), whose sum is σ = 1546752. Its totient is φ = 568800.

The previous prime is 1005203. The next prime is 1005209. The reversal of 1005207 is 7025001.

1005207 = 94² + 95² + ... + 156².

It is a happy number.

It is not a de Polignac number, because 1005207 - 2² = 1005203 is a prime.

It is a super-2 number, since 2×1005207² = 2020882225698, which contains 22 as substring.

It is an Ulam number.

1005207 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005203) 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 15 ways as a sum of consecutive naturals, for example, 3013 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (96672).

2^1005207 is an apocalyptic number.

1005207 is a deficient number, since it is larger than the sum of its proper divisors (541545).

1005207 is a wasteful number, since it uses less digits than its factorization.

1005207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1005207 is about 1002.6001196888. The cubic root of 1005207 is about 100.1732662812.

The spelling of 1005207 in words is "one million, five thousand, two hundred seven".