42705437 has 8 divisors (see below), whose sum is σ = 44266200. Its totient is φ = 41166144.

The previous prime is 42705431. The next prime is 42705461. The reversal of 42705437 is 73450724.

42705437 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 10374841 + 32330596 = 3221^2 + 5686^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42705437 - 2⁶ = 42705373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262 + ... + 9327.

It is an arithmetic number, because the mean of its divisors is an integer number (5533275).

Almost surely, 2^42705437 is an apocalyptic number.

It is an amenable number.

42705437 is a deficient number, since it is larger than the sum of its proper divisors (1560763).

42705437 is a wasteful number, since it uses less digits than its factorization.

42705437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735.

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 42705437 is about 6534.9397089797. The cubic root of 42705437 is about 349.5379944954.

The spelling of 42705437 in words is "forty-two million, seven hundred five thousand, four hundred thirty-seven".