838161 has 16 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 543024.

The previous prime is 838157. The next prime is 838169. The reversal of 838161 is 161838.

838161 = 59² + 60² + ... + 139².

It is not a de Polignac number, because 838161 - 2² = 838157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

838161 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2⁸³⁸¹⁶¹ is an apocalyptic number.

It is an amenable number.

838161 is a deficient number, since it is larger than the sum of its proper divisors (438639).

838161 is a wasteful number, since it uses less digits than its factorization.

838161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 838161 is about 915.5113325350. The cubic root of 838161 is about 94.2849734298.

Adding to 838161 its reverse (161838), we get a palindrome (999999).

It can be divided in two parts, 838 and 161, that added together give a palindrome (999).

The spelling of 838161 in words is "eight hundred thirty-eight thousand, one hundred sixty-one".