83946309 has 16 divisors (see below), whose sum is σ = 114099840. Its totient is φ = 54884160.

The previous prime is 83946307. The next prime is 83946337. The reversal of 83946309 is 90364938.

It is not a de Polignac number, because 83946309 - 2¹ = 83946307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83946307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118047 + ... + 118755.

It is an arithmetic number, because the mean of its divisors is an integer number (7131240).

Almost surely, 2^83946309 is an apocalyptic number.

It is an amenable number.

83946309 is a deficient number, since it is larger than the sum of its proper divisors (30153531).

83946309 is a wasteful number, since it uses less digits than its factorization.

83946309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 83946309 is about 9162.2218375239. The cubic root of 83946309 is about 437.8585842749.

It can be divided in two parts, 83946 and 309, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83946309 in words is "eighty-three million, nine hundred forty-six thousand, three hundred nine".