42504761 has 8 divisors (see below), whose sum is σ = 46402440. Its totient is φ = 38696832.

The previous prime is 42504731. The next prime is 42504809. The reversal of 42504761 is 16740524.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 42445225 = 244^2 + 6515^2 .

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 42504761 - 2⁶ = 42504697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42504731) 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, 21446 + ... + 23343.

It is an arithmetic number, because the mean of its divisors is an integer number (5800305).

Almost surely, 2^42504761 is an apocalyptic number.

It is an amenable number.

42504761 is a deficient number, since it is larger than the sum of its proper divisors (3897679).

42504761 is a wasteful number, since it uses less digits than its factorization.

42504761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44875.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42504761 is about 6519.5675470080. The cubic root of 42504761 is about 348.9896330558.

The spelling of 42504761 in words is "forty-two million, five hundred four thousand, seven hundred sixty-one".