42117165 has 20 divisors (see below), whose sum is σ = 75499644. Its totient is φ = 22462272.

The previous prime is 42117161. The next prime is 42117169. The reversal of 42117165 is 56171124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42117161) and next prime (42117169).

It can be written as a sum of positive squares in 2 ways, for example, as 6081156 + 36036009 = 2466^2 + 6003^2 .

It is not a de Polignac number, because 42117165 - 2² = 42117161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51592 + ... + 52401.

Almost surely, 2^42117165 is an apocalyptic number.

42117165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42117165 is a deficient number, since it is larger than the sum of its proper divisors (33382479).

42117165 is a wasteful number, since it uses less digits than its factorization.

42117165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104010 (or 104001 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 42117165 is about 6489.7738789576. The cubic root of 42117165 is about 347.9255934857.

Adding to 42117165 its reverse (56171124), we get a palindrome (98288289).

The spelling of 42117165 in words is "forty-two million, one hundred seventeen thousand, one hundred sixty-five".