42961 has 2 divisors, whose sum is σ = 42962. Its totient is φ = 42960.

The previous prime is 42953. The next prime is 42967. The reversal of 42961 is 16924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 14400 = 169^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 42961 - 2³ = 42953 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21480 + 21481.

It is an arithmetic number, because the mean of its divisors is an integer number (21481).

2⁴²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

42961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42961 is an equidigital number, since it uses as much as digits as its factorization.

42961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

The square root of 42961 is about 207.2703548509. The cubic root of 42961 is about 35.0233857316.

The spelling of 42961 in words is "forty-two thousand, nine hundred sixty-one".