42920113 has 2 divisors, whose sum is σ = 42920114. Its totient is φ = 42920112.

The previous prime is 42920077. The next prime is 42920123. The reversal of 42920113 is 31102924.

42920113 = 4632² + 4633².

42920113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21464689 + 21455424 = 4633^2 + 4632^2 .

It is a cyclic number.

It is not a de Polignac number, because 42920113 - 2¹⁷ = 42789041 is a prime.

It is not a weakly prime, because it can be changed into another prime (42920123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21460056 + 21460057.

It is an arithmetic number, because the mean of its divisors is an integer number (21460057).

Almost surely, 2^42920113 is an apocalyptic number.

42920113 is the 4633-rd centered square number.

It is an amenable number.

42920113 is a deficient number, since it is larger than the sum of its proper divisors (1).

42920113 is an equidigital number, since it uses as much as digits as its factorization.

42920113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42920113 is about 6551.3443658535. The cubic root of 42920113 is about 350.1227134330.

The spelling of 42920113 in words is "forty-two million, nine hundred twenty thousand, one hundred thirteen".