42838527 has 12 divisors (see below), whose sum is σ = 58001496. Its totient is φ = 28123920.

The previous prime is 42838511. The next prime is 42838553. The reversal of 42838527 is 72583824.

It is not a de Polignac number, because 42838527 - 2⁴ = 42838511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42838507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11877 + ... + 15057.

It is an arithmetic number, because the mean of its divisors is an integer number (4833458).

Almost surely, 2^42838527 is an apocalyptic number.

42838527 is a deficient number, since it is larger than the sum of its proper divisors (15162969).

42838527 is an equidigital number, since it uses as much as digits as its factorization.

42838527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3251 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 42838527 is about 6545.1147430736. The cubic root of 42838527 is about 349.9007255858.

It can be divided in two parts, 42838 and 527, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42838527 in words is "forty-two million, eight hundred thirty-eight thousand, five hundred twenty-seven".