83123617 has 12 divisors (see below), whose sum is σ = 87241008. Its totient is φ = 79180200.

The previous prime is 83123603. The next prime is 83123647. The reversal of 83123617 is 71632138.

It is not a de Polignac number, because 83123617 - 2¹⁹ = 82599329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83123647) 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, 63742 + ... + 65032.

It is an arithmetic number, because the mean of its divisors is an integer number (7270084).

Almost surely, 2^83123617 is an apocalyptic number.

It is an amenable number.

83123617 is a deficient number, since it is larger than the sum of its proper divisors (4117391).

83123617 is a wasteful number, since it uses less digits than its factorization.

83123617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1389 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 83123617 is about 9117.2154191946. The cubic root of 83123617 is about 436.4235163867.

The spelling of 83123617 in words is "eighty-three million, one hundred twenty-three thousand, six hundred seventeen".