42784013 has 2 divisors, whose sum is σ = 42784014. Its totient is φ = 42784012.

The previous prime is 42783977. The next prime is 42784031. The reversal of 42784013 is 31048724.

Together with next prime (42784031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22108804 + 20675209 = 4702^2 + 4547^2 .

It is a cyclic number.

It is not a de Polignac number, because 42784013 - 2¹⁴ = 42767629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42780013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21392006 + 21392007.

It is an arithmetic number, because the mean of its divisors is an integer number (21392007).

Almost surely, 2^42784013 is an apocalyptic number.

It is an amenable number.

42784013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42784013 is an equidigital number, since it uses as much as digits as its factorization.

42784013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 42784013 is about 6540.9489372720. The cubic root of 42784013 is about 349.7522409835.

The spelling of 42784013 in words is "forty-two million, seven hundred eighty-four thousand, thirteen".