7842013 has 2 divisors, whose sum is σ = 7842014. Its totient is φ = 7842012.

The previous prime is 7841989. The next prime is 7842031. The reversal of 7842013 is 3102487.

Together with next prime (7842031) 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., 7166329 + 675684 = 2677^2 + 822^2 .

It is a cyclic number.

It is not a de Polignac number, because 7842013 - 2⁹ = 7841501 is a prime.

It is a super-2 number, since 2×7842013² = 122994335784338, which contains 22 as substring.

7842013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7842073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3921006 + 3921007.

It is an arithmetic number, because the mean of its divisors is an integer number (3921007).

Almost surely, 2^7842013 is an apocalyptic number.

It is an amenable number.

7842013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7842013 is an equidigital number, since it uses as much as digits as its factorization.

7842013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7842013 is about 2800.3594412146. The cubic root of 7842013 is about 198.6746786828.

The spelling of 7842013 in words is "seven million, eight hundred forty-two thousand, thirteen".