42137641 has 16 divisors (see below), whose sum is σ = 52718848. Its totient is φ = 32788800.

The previous prime is 42137621. The next prime is 42137657. The reversal of 42137641 is 14673124.

It is a cyclic number.

It is not a de Polignac number, because 42137641 - 2¹⁹ = 41613353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42137621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756 + ... + 9346.

It is an arithmetic number, because the mean of its divisors is an integer number (3294928).

Almost surely, 2^42137641 is an apocalyptic number.

It is an amenable number.

42137641 is a deficient number, since it is larger than the sum of its proper divisors (10581207).

42137641 is a wasteful number, since it uses less digits than its factorization.

42137641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672.

The product of its digits is 4032, while the sum is 28.

The square root of 42137641 is about 6491.3512460812. The cubic root of 42137641 is about 347.9819677317.

It can be divided in two parts, 42137 and 641, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 42137641 in words is "forty-two million, one hundred thirty-seven thousand, six hundred forty-one".