34971 has 4 divisors (see below), whose sum is σ = 46632. Its totient is φ = 23312.

The previous prime is 34963. The next prime is 34981. The reversal of 34971 is 17943.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17943 = 3 ⋅5981.

It is a cyclic number.

It is not a de Polignac number, because 34971 - 2³ = 34963 is a prime.

It is a D-number.

34971 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34961) 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, 5826 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (11658).

2³⁴⁹⁷¹ is an apocalyptic number.

34971 is a deficient number, since it is larger than the sum of its proper divisors (11661).

34971 is a wasteful number, since it uses less digits than its factorization.

34971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660.

The product of its digits is 756, while the sum is 24.

The square root of 34971 is about 187.0053475171. The cubic root of 34971 is about 32.7016262319.

The spelling of 34971 in words is "thirty-four thousand, nine hundred seventy-one".