42782733 has 24 divisors (see below), whose sum is σ = 72072000. Its totient is φ = 24445512.

The previous prime is 42782717. The next prime is 42782741. The reversal of 42782733 is 33728724.

It is not a de Polignac number, because 42782733 - 2⁴ = 42782717 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843 + ... + 10016.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^42782733 is an apocalyptic number.

It is an amenable number.

42782733 is a deficient number, since it is larger than the sum of its proper divisors (29289267).

42782733 is a wasteful number, since it uses less digits than its factorization.

42782733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13886 (or 13869 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 42782733 is about 6540.8510914100. The cubic root of 42782733 is about 349.7487530192.

The spelling of 42782733 in words is "forty-two million, seven hundred eighty-two thousand, seven hundred thirty-three".