42892605 has 32 divisors (see below), whose sum is σ = 87148800. Its totient is φ = 19607616.

The previous prime is 42892573. The next prime is 42892609. The reversal of 42892605 is 50629824.

It is a happy number.

42892605 is a `hidden beast` number, since 42 + 8 + 9 + 2 + 605 = 666.

It is not a de Polignac number, because 42892605 - 2⁵ = 42892573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42892605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42892609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21750 + ... + 23639.

It is an arithmetic number, because the mean of its divisors is an integer number (2723400).

Almost surely, 2^42892605 is an apocalyptic number.

42892605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42892605 is an abundant number, since it is smaller than the sum of its proper divisors (44256195).

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

42892605 is a wasteful number, since it uses less digits than its factorization.

42892605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45410 (or 45404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42892605 is about 6549.2446129306. The cubic root of 42892605 is about 350.0478982066.

The spelling of 42892605 in words is "forty-two million, eight hundred ninety-two thousand, six hundred five".