101617 has 4 divisors (see below), whose sum is σ = 102256. Its totient is φ = 100980.

The previous prime is 101611. The next prime is 101627. The reversal of 101617 is 716101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 716101 = 761 ⋅941.

It is a cyclic number.

It is not a de Polignac number, because 101617 - 2⁷ = 101489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101617.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101617.

It is not an unprimeable number, because it can be changed into a prime (101611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (25564).

2¹⁰¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

101617 is a deficient number, since it is larger than the sum of its proper divisors (639).

101617 is an equidigital number, since it uses as much as digits as its factorization.

101617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101617 is about 318.7742147665. The cubic root of 101617 is about 46.6647334800.

Adding to 101617 its reverse (716101), we get a palindrome (817718).

The spelling of 101617 in words is "one hundred one thousand, six hundred seventeen".