42149205 has 72 divisors (see below), whose sum is σ = 88887552. Its totient is φ = 18095616.

The previous prime is 42149203. The next prime is 42149207. The reversal of 42149205 is 50294124.

It is an interprime number because it is at equal distance from previous prime (42149203) and next prime (42149207).

It is not a de Polignac number, because 42149205 - 2¹ = 42149203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42149203) 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 71 ways as a sum of consecutive naturals, for example, 90804 + ... + 91266.

Almost surely, 2^42149205 is an apocalyptic number.

42149205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42149205 is an abundant number, since it is smaller than the sum of its proper divisors (46738347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42149205 is a wasteful number, since it uses less digits than its factorization.

42149205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42149205 is about 6492.2419086168. The cubic root of 42149205 is about 348.0137975108.

The spelling of 42149205 in words is "forty-two million, one hundred forty-nine thousand, two hundred five".