42784633 has 2 divisors, whose sum is σ = 42784634. Its totient is φ = 42784632.

The previous prime is 42784579. The next prime is 42784639. The reversal of 42784633 is 33648724.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41512249 + 1272384 = 6443^2 + 1128^2 .

It is a cyclic number.

It is not a de Polignac number, because 42784633 - 2²¹ = 40687481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42784592 and 42784601.

It is not a weakly prime, because it can be changed into another prime (42784639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21392316 + 21392317.

It is an arithmetic number, because the mean of its divisors is an integer number (21392317).

Almost surely, 2^42784633 is an apocalyptic number.

It is an amenable number.

42784633 is a deficient number, since it is larger than the sum of its proper divisors (1).

42784633 is an equidigital number, since it uses as much as digits as its factorization.

42784633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 37.

The square root of 42784633 is about 6540.9963308352. The cubic root of 42784633 is about 349.7539304413.

It can be divided in two parts, 4278 and 4633, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 42784633 in words is "forty-two million, seven hundred eighty-four thousand, six hundred thirty-three".