8401013 has 2 divisors, whose sum is σ = 8401014. Its totient is φ = 8401012.

The previous prime is 8400979. The next prime is 8401027. The reversal of 8401013 is 3101048.

It is a happy number.

8401013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4231249 + 4169764 = 2057^2 + 2042^2 .

It is a cyclic number.

It is not a de Polignac number, because 8401013 - 2⁸ = 8400757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8400982 and 8401000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8401033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200506 + 4200507.

It is an arithmetic number, because the mean of its divisors is an integer number (4200507).

Almost surely, 2^8401013 is an apocalyptic number.

It is an amenable number.

8401013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8401013 is an equidigital number, since it uses as much as digits as its factorization.

8401013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8401013 is about 2898.4501030723. The cubic root of 8401013 is about 203.2874425386.

The spelling of 8401013 in words is "eight million, four hundred one thousand, thirteen".