34827 has 16 divisors (see below), whose sum is σ = 53760. Its totient is φ = 19872.

The previous prime is 34819. The next prime is 34841. The reversal of 34827 is 72843.

It is not a de Polignac number, because 34827 - 2³ = 34819 is a prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34797 and 34806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁴⁸²⁷ is an apocalyptic number.

34827 is a deficient number, since it is larger than the sum of its proper divisors (18933).

34827 is a wasteful number, since it uses less digits than its factorization.

34827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 1344, while the sum is 24.

The square root of 34827 is about 186.6199346265. The cubic root of 34827 is about 32.6566793477.

It can be divided in two parts, 34 and 827, that added together give a triangular number (861 = T₄₁).

The spelling of 34827 in words is "thirty-four thousand, eight hundred twenty-seven".