101749 has 2 divisors, whose sum is σ = 101750. Its totient is φ = 101748.

The previous prime is 101747. The next prime is 101771. The reversal of 101749 is 947101.

It is an a-pointer prime, because the next prime (101771) can be obtained adding 101749 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 625 = 318^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 101749 - 2¹ = 101747 is a prime.

Together with 101747, it forms a pair of twin primes.

It is a plaindrome in base 5.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50874 + 50875.

It is an arithmetic number, because the mean of its divisors is an integer number (50875).

2¹⁰¹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

101749 is a deficient number, since it is larger than the sum of its proper divisors (1).

101749 is an equidigital number, since it uses as much as digits as its factorization.

101749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 101749 is about 318.9811906680. The cubic root of 101749 is about 46.6849304929.

The spelling of 101749 in words is "one hundred one thousand, seven hundred forty-nine".