42013765 has 8 divisors (see below), whose sum is σ = 50605560. Its totient is φ = 33484992.

The previous prime is 42013747. The next prime is 42013781. The reversal of 42013765 is 56731024.

It can be written as a sum of positive squares in 4 ways, for example, as 3101121 + 38912644 = 1761^2 + 6238^2 .

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 42013765 - 2⁵ = 42013733 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14274 + ... + 16963.

It is an arithmetic number, because the mean of its divisors is an integer number (6325695).

Almost surely, 2^42013765 is an apocalyptic number.

It is an amenable number.

42013765 is a deficient number, since it is larger than the sum of its proper divisors (8591795).

42013765 is a wasteful number, since it uses less digits than its factorization.

42013765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31511.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42013765 is about 6481.8026042144. The cubic root of 42013765 is about 347.6406345526.

Adding to 42013765 its reverse (56731024), we get a palindrome (98744789).

It can be divided in two parts, 42013 and 765, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 42013765 in words is "forty-two million, thirteen thousand, seven hundred sixty-five".