83661309 has 16 divisors (see below), whose sum is σ = 124392000. Its totient is φ = 55572048.

The previous prime is 83661307. The next prime is 83661337. The reversal of 83661309 is 90316638.

It is a happy number.

83661309 is a `hidden beast` number, since 8 + 36 + 613 + 0 + 9 = 666.

It is not a de Polignac number, because 83661309 - 2¹ = 83661307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83661307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 13115.

It is an arithmetic number, because the mean of its divisors is an integer number (7774500).

Almost surely, 2^83661309 is an apocalyptic number.

It is an amenable number.

83661309 is a deficient number, since it is larger than the sum of its proper divisors (40730691).

83661309 is a wasteful number, since it uses less digits than its factorization.

83661309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11235 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83661309 is about 9146.6556183121. The cubic root of 83661309 is about 437.3625085235.

The spelling of 83661309 in words is "eighty-three million, six hundred sixty-one thousand, three hundred nine".