168461 has 8 divisors (see below), whose sum is σ = 180120. Its totient is φ = 157248.

The previous prime is 168457. The next prime is 168463. The reversal of 168461 is 164861.

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 126025 = 206^2 + 355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 168461 - 2² = 168457 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 168461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168463) 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 7 ways as a sum of consecutive naturals, for example, 995 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (22515).

2¹⁶⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

168461 is a deficient number, since it is larger than the sum of its proper divisors (11659).

168461 is a wasteful number, since it uses less digits than its factorization.

168461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 1152, while the sum is 26.

The square root of 168461 is about 410.4400077965. The cubic root of 168461 is about 55.2289082286.

Subtracting from 168461 its reverse (164861), we obtain a square (3600 = 60²).

The spelling of 168461 in words is "one hundred sixty-eight thousand, four hundred sixty-one".