104761 has 2 divisors, whose sum is σ = 104762. Its totient is φ = 104760.

The previous prime is 104759. The next prime is 104773. The reversal of 104761 is 167401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 32400 = 269^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 104761 - 2¹ = 104759 is a prime.

Together with 104759, it forms a pair of twin primes.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (104701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52380 + 52381.

It is an arithmetic number, because the mean of its divisors is an integer number (52381).

2¹⁰⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

104761 is a deficient number, since it is larger than the sum of its proper divisors (1).

104761 is an equidigital number, since it uses as much as digits as its factorization.

104761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 104761 is about 323.6680398186. The cubic root of 104761 is about 47.1411180433.

The spelling of 104761 in words is "one hundred four thousand, seven hundred sixty-one".