84642309 has 12 divisors (see below), whose sum is σ = 122396716. Its totient is φ = 56365632.

The previous prime is 84642289. The next prime is 84642331. The reversal of 84642309 is 90324648.

It is a happy number.

84642309 is a `hidden beast` number, since 8 + 4 + 642 + 3 + 0 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66341025 + 18301284 = 8145^2 + 4278^2 .

It is not a de Polignac number, because 84642309 - 2⁸ = 84642053 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 (84642379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 13689.

Almost surely, 2^84642309 is an apocalyptic number.

It is an amenable number.

84642309 is a deficient number, since it is larger than the sum of its proper divisors (37754407).

84642309 is a wasteful number, since it uses less digits than its factorization.

84642309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10436 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 84642309 is about 9200.1254882746. The cubic root of 84642309 is about 439.0653524610.

The spelling of 84642309 in words is "eighty-four million, six hundred forty-two thousand, three hundred nine".