42712605 has 24 divisors (see below), whose sum is σ = 79731288. Its totient is φ = 21027456.

The previous prime is 42712601. The next prime is 42712609. The reversal of 42712605 is 50621724.

42712605 is a `hidden beast` number, since 42 + 7 + 12 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (42712601) and next prime (42712609).

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 39275289 = 1854^2 + 6267^2 .

It is not a de Polignac number, because 42712605 - 2² = 42712601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42712601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35922 + ... + 37091.

It is an arithmetic number, because the mean of its divisors is an integer number (3322137).

Almost surely, 2^42712605 is an apocalyptic number.

42712605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42712605 is a deficient number, since it is larger than the sum of its proper divisors (37018683).

42712605 is a wasteful number, since it uses less digits than its factorization.

42712605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73037 (or 73034 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42712605 is about 6535.4881225506. The cubic root of 42712605 is about 349.5575497586.

It can be divided in two parts, 4 and 2712605, that added together give a square (2712609 = 1647²).

The spelling of 42712605 in words is "forty-two million, seven hundred twelve thousand, six hundred five".