83667609 has 9 divisors (see below), whose sum is σ = 120892863. Its totient is φ = 55760112.

The previous prime is 83667601. The next prime is 83667611. The reversal of 83667609 is 90676638.

The square root of 83667609 is 9147.

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

83667609 is a `hidden beast` number, since 8 + 36 + 6 + 7 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9018009 + 74649600 = 3003^2 + 8640^2 .

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

It is not a de Polignac number, because 83667609 - 2³ = 83667601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83667601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25917 + ... + 28965.

Almost surely, 2^83667609 is an apocalyptic number.

83667609 is the 9147-th square number.

83667609 is the 4574-th centered octagonal number.

It is an amenable number.

83667609 is a deficient number, since it is larger than the sum of its proper divisors (37225254).

83667609 is an frugal number, since it uses more digits than its factorization.

83667609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 83667609 is about 437.3734865757.

The spelling of 83667609 in words is "eighty-three million, six hundred sixty-seven thousand, six hundred nine".