167961 has 4 divisors (see below), whose sum is σ = 223952. Its totient is φ = 111972.

The previous prime is 167953. The next prime is 167971. The reversal of 167961 is 169761.

167961 is nontrivially palindromic in base 6.

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 not a de Polignac number, because 167961 - 2³ = 167953 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

167961 is a lucky number.

167961 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (167911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27991 + ... + 27996.

It is an arithmetic number, because the mean of its divisors is an integer number (55988).

167961 is a Friedman number, since it can be written as (6^(7+1)-6)/(9+1), using all its digits and the basic arithmetic operations.

2¹⁶⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

167961 is a deficient number, since it is larger than the sum of its proper divisors (55991).

167961 is an equidigital number, since it uses as much as digits as its factorization.

167961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55990.

The product of its digits is 2268, while the sum is 30.

The square root of 167961 is about 409.8304527485. The cubic root of 167961 is about 55.1742134336.

It can be divided in two parts, 167 and 961, that added together give a triangular number (1128 = T₄₇).

The spelling of 167961 in words is "one hundred sixty-seven thousand, nine hundred sixty-one".