80946009 has 9 divisors (see below), whose sum is σ = 116961013. Its totient is φ = 53946012.

The previous prime is 80945987. The next prime is 80946029. The reversal of 80946009 is 90064908.

The square root of 80946009 is 8997.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 80946009 - 2⁹ = 80945497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80946029) 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 8 ways as a sum of consecutive naturals, for example, 25492 + ... + 28490.

Almost surely, 2^80946009 is an apocalyptic number.

80946009 is the 8997-th square number.

80946009 is the 4499-th centered octagonal number.

It is an amenable number.

80946009 is a deficient number, since it is larger than the sum of its proper divisors (36015004).

80946009 is an frugal number, since it uses more digits than its factorization.

80946009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 80946009 is about 432.5787157784.

Multiplying 80946009 by its sum of digits (36), we get a square (2914056324 = 53982²).

The spelling of 80946009 in words is "eighty million, nine hundred forty-six thousand, nine".