34821 has 12 divisors (see below), whose sum is σ = 51948. Its totient is φ = 22464.

The previous prime is 34819. The next prime is 34841. The reversal of 34821 is 12843.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 12321 = 150^2 + 111^2 .

It is not a de Polignac number, because 34821 - 2¹ = 34819 is a prime.

34821 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 34794 and 34803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2³⁴⁸²¹ is an apocalyptic number.

It is an amenable number.

34821 is a deficient number, since it is larger than the sum of its proper divisors (17127).

34821 is a wasteful number, since it uses less digits than its factorization.

34821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34821 is about 186.6038584810. The cubic root of 34821 is about 32.6548038744.

The spelling of 34821 in words is "thirty-four thousand, eight hundred twenty-one".