42671565 has 24 divisors (see below), whose sum is σ = 74126520. Its totient is φ = 22708224.

The previous prime is 42671539. The next prime is 42671567. The reversal of 42671565 is 56517624.

It is a happy number.

42671565 is a `hidden beast` number, since 4 + 26 + 71 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 42224004 = 669^2 + 6498^2 .

It is not a de Polignac number, because 42671565 - 2⁵ = 42671533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42671567) 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, 29581 + ... + 30989.

It is an arithmetic number, because the mean of its divisors is an integer number (3088605).

Almost surely, 2^42671565 is an apocalyptic number.

42671565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42671565 is a deficient number, since it is larger than the sum of its proper divisors (31454955).

42671565 is a wasteful number, since it uses less digits than its factorization.

42671565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2090 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42671565 is about 6532.3475872002. The cubic root of 42671565 is about 349.4455575338.

It can be divided in two parts, 4267 and 1565, that added together give a cube (5832 = 18³).

The spelling of 42671565 in words is "forty-two million, six hundred seventy-one thousand, five hundred sixty-five".