42417765 has 48 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 20200320.

The previous prime is 42417763. The next prime is 42417787. The reversal of 42417765 is 56771424.

42417765 is a `hidden beast` number, since 424 + 177 + 65 = 666.

It is not a de Polignac number, because 42417765 - 2¹ = 42417763 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42417763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16966 + ... + 19304.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^42417765 is an apocalyptic number.

42417765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42417765 is a deficient number, since it is larger than the sum of its proper divisors (39351195).

42417765 is a wasteful number, since it uses less digits than its factorization.

42417765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2391 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 42417765 is about 6512.8922146770. The cubic root of 42417765 is about 348.7513739492.

The spelling of 42417765 in words is "forty-two million, four hundred seventeen thousand, seven hundred sixty-five".