42115905 has 24 divisors (see below), whose sum is σ = 78617448. Its totient is φ = 20733696.

The previous prime is 42115883. The next prime is 42115933. The reversal of 42115905 is 50951124.

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 33454656 = 2943^2 + 5784^2 .

It is not a de Polignac number, because 42115905 - 2⁶ = 42115841 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35412 + ... + 36581.

It is an arithmetic number, because the mean of its divisors is an integer number (3275727).

Almost surely, 2^42115905 is an apocalyptic number.

42115905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42115905 is a deficient number, since it is larger than the sum of its proper divisors (36501543).

42115905 is a wasteful number, since it uses less digits than its factorization.

42115905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72017 (or 72014 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 42115905 is about 6489.6768024301. The cubic root of 42115905 is about 347.9221238741.

The spelling of 42115905 in words is "forty-two million, one hundred fifteen thousand, nine hundred five".