42813905 has 12 divisors (see below), whose sum is σ = 54578460. Its totient is φ = 32235264.

The previous prime is 42813893. The next prime is 42813917. The reversal of 42813905 is 50931824.

It is an interprime number because it is at equal distance from previous prime (42813893) and next prime (42813917).

It can be written as a sum of positive squares in 6 ways, for example, as 8427409 + 34386496 = 2903^2 + 5864^2 .

It is not a de Polignac number, because 42813905 - 2²⁰ = 41765329 is a prime.

It is a super-2 number, since 2×42813905² = 3666060922698050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13370 + ... + 16259.

It is an arithmetic number, because the mean of its divisors is an integer number (4548205).

Almost surely, 2^42813905 is an apocalyptic number.

It is an amenable number.

42813905 is a deficient number, since it is larger than the sum of its proper divisors (11764555).

42813905 is a wasteful number, since it uses less digits than its factorization.

42813905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29668 (or 29651 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 42813905 is about 6543.2335278515. The cubic root of 42813905 is about 349.8336760756.

The spelling of 42813905 in words is "forty-two million, eight hundred thirteen thousand, nine hundred five".