838160401 has 27 divisors (see below), whose sum is σ = 971538033. Its totient is φ = 722616960.

The previous prime is 838160399. The next prime is 838160459. The reversal of 838160401 is 104061838.

The square root of 838160401 is 28951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7568001 + 830592400 = 2751^2 + 28820^2 .

It is not a de Polignac number, because 838160401 - 2¹ = 838160399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838160461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6398106 + ... + 6398236.

Almost surely, 2^838160401 is an apocalyptic number.

838160401 is the 28951-st square number.

838160401 is the 14476-th centered octagonal number.

It is an amenable number.

838160401 is a deficient number, since it is larger than the sum of its proper divisors (133377632).

838160401 is a wasteful number, since it uses less digits than its factorization.

838160401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 838160401 is about 942.8495096927.

The spelling of 838160401 in words is "eight hundred thirty-eight million, one hundred sixty thousand, four hundred one".