101653 has 2 divisors, whose sum is σ = 101654. Its totient is φ = 101652.

The previous prime is 101641. The next prime is 101663. The reversal of 101653 is 356101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 529 = 318^2 + 23^2 .

It is an emirp because it is prime and its reverse (356101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101653 - 2⁹ = 101141 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50826 + 50827.

It is an arithmetic number, because the mean of its divisors is an integer number (50827).

2¹⁰¹⁶⁵³ is an apocalyptic number.

It is an amenable number.

101653 is a deficient number, since it is larger than the sum of its proper divisors (1).

101653 is an equidigital number, since it uses as much as digits as its factorization.

101653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 101653 is about 318.8306760649. The cubic root of 101653 is about 46.6702434900.

Adding to 101653 its reverse (356101), we get a palindrome (457754).

The spelling of 101653 in words is "one hundred one thousand, six hundred fifty-three".