42701 has 2 divisors, whose sum is σ = 42702. Its totient is φ = 42700.

The previous prime is 42697. The next prime is 42703. The reversal of 42701 is 10724.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42025 + 676 = 205^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 42701 - 2² = 42697 is a prime.

Together with 42703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21350 + 21351.

It is an arithmetic number, because the mean of its divisors is an integer number (21351).

2⁴²⁷⁰¹ is an apocalyptic number.

It is an amenable number.

42701 is a deficient number, since it is larger than the sum of its proper divisors (1).

42701 is an equidigital number, since it uses as much as digits as its factorization.

42701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 42701 is about 206.6422028531. The cubic root of 42701 is about 34.9525888669.

The spelling of 42701 in words is "forty-two thousand, seven hundred one", and thus it is an iban number.