167101 has 6 divisors (see below), whose sum is σ = 183806. Its totient is φ = 151800.

The previous prime is 167099. The next prime is 167107. The reversal of 167101 is 101761.

It can be written as a sum of positive squares in only one way, i.e., 139876 + 27225 = 374^2 + 165^2 .

It is not a de Polignac number, because 167101 - 2¹ = 167099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570 + ... + 811.

2¹⁶⁷¹⁰¹ is an apocalyptic number.

167101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167101 is a deficient number, since it is larger than the sum of its proper divisors (16705).

167101 is a wasteful number, since it uses less digits than its factorization.

167101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 167101 is about 408.7798918734. The cubic root of 167101 is about 55.0798839176.

Adding to 167101 its reverse (101761), we get a palindrome (268862).

It can be divided in two parts, 16 and 7101, that added together give a palindrome (7117).

The spelling of 167101 in words is "one hundred sixty-seven thousand, one hundred one".