7917401 has 2 divisors, whose sum is σ = 7917402. Its totient is φ = 7917400.

The previous prime is 7917389. The next prime is 7917407. The reversal of 7917401 is 1047197.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 2253001 = 2380^2 + 1501^2 .

It is an emirp because it is prime and its reverse (1047197) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7917401 - 2⁶ = 7917337 is a prime.

It is not a weakly prime, because it can be changed into another prime (7917407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3958700 + 3958701.

It is an arithmetic number, because the mean of its divisors is an integer number (3958701).

Almost surely, 2^7917401 is an apocalyptic number.

It is an amenable number.

7917401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7917401 is an equidigital number, since it uses as much as digits as its factorization.

7917401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 7917401 is about 2813.7876607875. The cubic root of 7917401 is about 199.3092923608.

It can be divided in two parts, 791 and 7401, that added together give a 13-th power (8192 = 2¹³).

The spelling of 7917401 in words is "seven million, nine hundred seventeen thousand, four hundred one".