34161 has 8 divisors (see below), whose sum is σ = 46560. Its totient is φ = 22272.

The previous prime is 34159. The next prime is 34171. The reversal of 34161 is 16143.

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

It is not a de Polignac number, because 34161 - 2¹ = 34159 is a prime.

It is an alternating number because its digits alternate between odd and even.

34161 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 34161.

It is not an unprimeable number, because it can be changed into a prime (34141) 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, 81 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (5820).

2³⁴¹⁶¹ is an apocalyptic number.

It is an amenable number.

34161 is a deficient number, since it is larger than the sum of its proper divisors (12399).

34161 is a wasteful number, since it uses less digits than its factorization.

34161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 72, while the sum is 15.

The square root of 34161 is about 184.8269460874. The cubic root of 34161 is about 32.4471725603.

The spelling of 34161 in words is "thirty-four thousand, one hundred sixty-one".