101597 has 4 divisors (see below), whose sum is σ = 102240. Its totient is φ = 100956.

The previous prime is 101581. The next prime is 101599. The reversal of 101597 is 795101.

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.

It is a cyclic number.

It is not a de Polignac number, because 101597 - 2⁴ = 101581 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101599) 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, 104 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

2¹⁰¹⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

101597 is a deficient number, since it is larger than the sum of its proper divisors (643).

101597 is an equidigital number, since it uses as much as digits as its factorization.

101597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 101597 is about 318.7428430569. The cubic root of 101597 is about 46.6616718010.

Adding to 101597 its reverse (795101), we get a palindrome (896698).

The spelling of 101597 in words is "one hundred one thousand, five hundred ninety-seven".