42684165 has 72 divisors (see below), whose sum is σ = 82686240. Its totient is φ = 21065184.

The previous prime is 42684149. The next prime is 42684167. The reversal of 42684165 is 56148624.

It is not a de Polignac number, because 42684165 - 2⁴ = 42684149 is a prime.

It is a super-3 number, since 3×42684165³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42684167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 992634 + ... + 992676.

It is an arithmetic number, because the mean of its divisors is an integer number (1148420).

Almost surely, 2^42684165 is an apocalyptic number.

42684165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42684165 is a deficient number, since it is larger than the sum of its proper divisors (40002075).

42684165 is an equidigital number, since it uses as much as digits as its factorization.

42684165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42684165 is about 6533.3119472439. The cubic root of 42684165 is about 349.4799487474.

It can be divided in two parts, 42684 and 165, that added together give a square (42849 = 207²).

The spelling of 42684165 in words is "forty-two million, six hundred eighty-four thousand, one hundred sixty-five".