167981 has 4 divisors (see below), whose sum is σ = 183264. Its totient is φ = 152700.

The previous prime is 167971. The next prime is 167987. The reversal of 167981 is 189761.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 167981 - 2⁶ = 167917 is a prime.

It is a super-2 number, since 2×167981² = 56435232722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167981.

It is not an unprimeable number, because it can be changed into a prime (167987) 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, 7625 + ... + 7646.

It is an arithmetic number, because the mean of its divisors is an integer number (45816).

2¹⁶⁷⁹⁸¹ is an apocalyptic number.

167981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167981 is a deficient number, since it is larger than the sum of its proper divisors (15283).

167981 is a wasteful number, since it uses less digits than its factorization.

167981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282.

The product of its digits is 3024, while the sum is 32.

The square root of 167981 is about 409.8548523563. The cubic root of 167981 is about 55.1764033080.

It can be divided in two parts, 16 and 7981, that added together give a palindrome (7997).

The spelling of 167981 in words is "one hundred sixty-seven thousand, nine hundred eighty-one".