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7901 is a prime number

7901 has 2 divisors, whose sum is σ = 7902. Its totient is φ = 7900.

The previous prime is 7883. The next prime is 7907. The reversal of 7901 is 1097.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225 + 676 = 85^2 + 26^2 .

It is an emirp because it is prime and its reverse (1097) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7901 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 7901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3950 + 3951.

It is an arithmetic number, because the mean of its divisors is an integer number (3951).

27901 is an apocalyptic number.

It is an amenable number.

7901 is a deficient number, since it is larger than the sum of its proper divisors (1).

7901 is an equidigital number, since it uses as much as digits as its factorization.

7901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 7901 is about 88.8875694347. The cubic root of 7901 is about 19.9171573284.

Adding to 7901 its reverse (1097), we get a palindrome (8998).

The spelling of 7901 in words is "seven thousand, nine hundred one".