42761 has 4 divisors (see below), whose sum is σ = 43524. Its totient is φ = 42000.

The previous prime is 42751. The next prime is 42767. The reversal of 42761 is 16724.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17161 + 25600 = 131^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 42761 - 2⁶ = 42697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2⁴²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

42761 is a deficient number, since it is larger than the sum of its proper divisors (763).

42761 is an equidigital number, since it uses as much as digits as its factorization.

42761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762.

The product of its digits is 336, while the sum is 20.

The square root of 42761 is about 206.7873303662. The cubic root of 42761 is about 34.9689520578.

The spelling of 42761 in words is "forty-two thousand, seven hundred sixty-one".