167216 has 20 divisors (see below), whose sum is σ = 370512. Its totient is φ = 71616.

The previous prime is 167213. The next prime is 167221. The reversal of 167216 is 612761.

It is a super-2 number, since 2×167216² = 55922381312, which contains 22 as substring.

It is an Ulam number.

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

It is a junction number, because it is equal to n+sod(n) for n = 167191 and 167200.

It is not an unprimeable number, because it can be changed into a prime (167213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 635 + ... + 858.

2¹⁶⁷²¹⁶ is an apocalyptic number.

167216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

167216 is an abundant number, since it is smaller than the sum of its proper divisors (203296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167216 is a wasteful number, since it uses less digits than its factorization.

167216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its digits is 504, while the sum is 23.

The square root of 167216 is about 408.9205301767. The cubic root of 167216 is about 55.0925164655.

Adding to 167216 its reverse (612761), we get a palindrome (779977).

It can be divided in two parts, 167 and 216, that added together give a palindrome (383).

The spelling of 167216 in words is "one hundred sixty-seven thousand, two hundred sixteen".