167661 has 12 divisors (see below), whose sum is σ = 260988. Its totient is φ = 103104.

The previous prime is 167641. The next prime is 167663. The reversal of 167661 is 166761.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 86436 = 285^2 + 294^2 .

It is not a de Polignac number, because 167661 - 2⁶ = 167597 is a prime.

It is a super-2 number, since 2×167661² = 56220421842, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (21749).

2¹⁶⁷⁶⁶¹ is an apocalyptic number.

It is an amenable number.

167661 is a deficient number, since it is larger than the sum of its proper divisors (93327).

167661 is a wasteful number, since it uses less digits than its factorization.

167661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1449 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 167661 is about 409.4642841568. The cubic root of 167661 is about 55.1413444369.

Subtracting from 167661 its reverse (166761), we obtain a square (900 = 30²).

It can be divided in two parts, 167 and 661, that added together give a palindrome (828).

The spelling of 167661 in words is "one hundred sixty-seven thousand, six hundred sixty-one".