1005397264 has 15 divisors (see below), whose sum is σ = 1948202967. Its totient is φ = 502635216.

The previous prime is 1005397241. The next prime is 1005397277. The reversal of 1005397264 is 4627935001.

The square root of 1005397264 is 31708.

It is a perfect power (a square), and thus also a powerful number.

1005397264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 122869 + ... + 130795.

Almost surely, 2^1005397264 is an apocalyptic number.

1005397264 is the 31708-th square number.

It is an amenable number.

1005397264 is a deficient number, since it is larger than the sum of its proper divisors (942805703).

1005397264 is an frugal number, since it uses more digits than its factorization.

1005397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15862 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 1005397264 is about 1001.7958609528.

The spelling of 1005397264 in words is "one billion, five million, three hundred ninety-seven thousand, two hundred sixty-four".