42167937 has 32 divisors (see below), whose sum is σ = 65830912. Its totient is φ = 23514624.

The previous prime is 42167927. The next prime is 42167941. The reversal of 42167937 is 73976124.

It is not a de Polignac number, because 42167937 - 2¹⁴ = 42151553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42167895 and 42167904.

It is not an unprimeable number, because it can be changed into a prime (42167927) 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 31 ways as a sum of consecutive naturals, for example, 258618 + ... + 258780.

It is an arithmetic number, because the mean of its divisors is an integer number (2057216).

Almost surely, 2^42167937 is an apocalyptic number.

It is an amenable number.

42167937 is a deficient number, since it is larger than the sum of its proper divisors (23662975).

42167937 is a wasteful number, since it uses less digits than its factorization.

42167937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its digits is 63504, while the sum is 39.

The square root of 42167937 is about 6493.6843933163. The cubic root of 42167937 is about 348.0653447778.

The spelling of 42167937 in words is "forty-two million, one hundred sixty-seven thousand, nine hundred thirty-seven".