83616393 has 48 divisors (see below), whose sum is σ = 136581120. Its totient is φ = 45309600.

The previous prime is 83616391. The next prime is 83616409. The reversal of 83616393 is 39361638.

83616393 = T₃₈₂ + T₃₈₃ + ... + T₈₂₂.

It is not a de Polignac number, because 83616393 - 2¹ = 83616391 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83616391) 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, 268708 + ... + 269018.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 2^83616393 is an apocalyptic number.

It is an amenable number.

83616393 is a deficient number, since it is larger than the sum of its proper divisors (52964727).

83616393 is a wasteful number, since it uses less digits than its factorization.

83616393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 83616393 is about 9144.1999650051. The cubic root of 83616393 is about 437.2842242632.

The spelling of 83616393 in words is "eighty-three million, six hundred sixteen thousand, three hundred ninety-three".