101797 has 2 divisors, whose sum is σ = 101798. Its totient is φ = 101796.

The previous prime is 101789. The next prime is 101807. The reversal of 101797 is 797101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 36 = 319^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 101797 - 2³ = 101789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50898 + 50899.

It is an arithmetic number, because the mean of its divisors is an integer number (50899).

2¹⁰¹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

101797 is a deficient number, since it is larger than the sum of its proper divisors (1).

101797 is an equidigital number, since it uses as much as digits as its factorization.

101797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 101797 is about 319.0564213427. The cubic root of 101797 is about 46.6922705303.

Adding to 101797 its reverse (797101), we get a palindrome (898898).

It can be divided in two parts, 10179 and 7, that multiplied together give a triangular number (71253 = T₃₇₇).

The spelling of 101797 in words is "one hundred one thousand, seven hundred ninety-seven".