3827814161401 has 2 divisors, whose sum is σ = 3827814161402. Its totient is φ = 3827814161400.

The previous prime is 3827814161399. The next prime is 3827814161429. The reversal of 3827814161401 is 1041614187283.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3827637909225 + 176252176 = 1956435^2 + 13276^2 .

It is an emirp because it is prime and its reverse (1041614187283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3827814161401 - 2¹ = 3827814161399 is a prime.

It is a super-2 number, since 2×3827814161401² (a number of 26 digits) contains 22 as substring.

Together with 3827814161399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3827814161201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1913907080700 + 1913907080701.

It is an arithmetic number, because the mean of its divisors is an integer number (1913907080701).

Almost surely, 2^{3827814161401} is an apocalyptic number.

It is an amenable number.

3827814161401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3827814161401 is an equidigital number, since it uses as much as digits as its factorization.

3827814161401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 3827814161401 in words is "three trillion, eight hundred twenty-seven billion, eight hundred fourteen million, one hundred sixty-one thousand, four hundred one".