7836401 has 2 divisors, whose sum is σ = 7836402. Its totient is φ = 7836400.

The previous prime is 7836377. The next prime is 7836407. The reversal of 7836401 is 1046387.

7836401 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., 6754801 + 1081600 = 2599^2 + 1040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7836401 is a prime.

It is a super-2 number, since 2×7836401² = 122818361265602, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7836407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3918200 + 3918201.

It is an arithmetic number, because the mean of its divisors is an integer number (3918201).

Almost surely, 2^7836401 is an apocalyptic number.

It is an amenable number.

7836401 is a deficient number, since it is larger than the sum of its proper divisors (1).

7836401 is an equidigital number, since it uses as much as digits as its factorization.

7836401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 7836401 is about 2799.3572476553. The cubic root of 7836401 is about 198.6272746821.

The spelling of 7836401 in words is "seven million, eight hundred thirty-six thousand, four hundred one".