1072984309 has 8 divisors (see below), whose sum is σ = 1103964120. Its totient is φ = 1042233600.

The previous prime is 1072984303. The next prime is 1072984343. The reversal of 1072984309 is 9034892701.

It can be written as a sum of positive squares in 4 ways, for example, as 190716100 + 882268209 = 13810^2 + 29703^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072984309 - 2⁵ = 1072984277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072984303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47752 + ... + 66529.

It is an arithmetic number, because the mean of its divisors is an integer number (137995515).

Almost surely, 2^1072984309 is an apocalyptic number.

It is an amenable number.

1072984309 is a deficient number, since it is larger than the sum of its proper divisors (30979811).

1072984309 is a wasteful number, since it uses less digits than its factorization.

1072984309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114551.

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 1072984309 is about 32756.4391990338. The cubic root of 1072984309 is about 1023.7591358154.

The spelling of 1072984309 in words is "one billion, seventy-two million, nine hundred eighty-four thousand, three hundred nine".