7985413 has 2 divisors, whose sum is σ = 7985414. Its totient is φ = 7985412.

The previous prime is 7985389. The next prime is 7985423. The reversal of 7985413 is 3145897.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4592449 + 3392964 = 2143^2 + 1842^2 .

It is an emirp because it is prime and its reverse (3145897) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7985413 - 2⁵ = 7985381 is a prime.

It is equal to p₅₃₈₈₇₆ and since 7985413 and 538876 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7985423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3992706 + 3992707.

It is an arithmetic number, because the mean of its divisors is an integer number (3992707).

Almost surely, 2^7985413 is an apocalyptic number.

It is an amenable number.

7985413 is a deficient number, since it is larger than the sum of its proper divisors (1).

7985413 is an equidigital number, since it uses as much as digits as its factorization.

7985413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 37.

The square root of 7985413 is about 2825.8473065613. The cubic root of 7985413 is about 199.8783677096.

The spelling of 7985413 in words is "seven million, nine hundred eighty-five thousand, four hundred thirteen".