73084509 has 48 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 44928000.

The previous prime is 73084499. The next prime is 73084519. The reversal of 73084509 is 90548037.

73084509 is a `hidden beast` number, since 73 + 0 + 84 + 509 = 666.

It is an interprime number because it is at equal distance from previous prime (73084499) and next prime (73084519).

It can be written as a sum of positive squares in 8 ways, for example, as 8732025 + 64352484 = 2955^2 + 8022^2 .

It is not a de Polignac number, because 73084509 - 2⁴ = 73084493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73084519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723559 + ... + 723659.

It is an arithmetic number, because the mean of its divisors is an integer number (2380833).

Almost surely, 2^73084509 is an apocalyptic number.

It is an amenable number.

73084509 is a deficient number, since it is larger than the sum of its proper divisors (41195475).

73084509 is a wasteful number, since it uses less digits than its factorization.

73084509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73084509 is about 8548.9478299964. The cubic root of 73084509 is about 418.0951322281.

The spelling of 73084509 in words is "seventy-three million, eighty-four thousand, five hundred nine".