34000821 has 24 divisors (see below), whose sum is σ = 50079744. Its totient is φ = 22226400.

The previous prime is 34000819. The next prime is 34000853. The reversal of 34000821 is 12800043.

It is a happy number.

It is not a de Polignac number, because 34000821 - 2¹ = 34000819 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000794 and 34000803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172495 + ... + 172691.

It is an arithmetic number, because the mean of its divisors is an integer number (2086656).

Almost surely, 2^34000821 is an apocalyptic number.

It is an amenable number.

34000821 is a deficient number, since it is larger than the sum of its proper divisors (16078923).

34000821 is a wasteful number, since it uses less digits than its factorization.

34000821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 478 counting only the distinct ones).

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

The square root of 34000821 is about 5831.0222945895. The cubic root of 34000821 is about 323.9637876767.

Adding to 34000821 its reverse (12800043), we get a palindrome (46800864).

The spelling of 34000821 in words is "thirty-four million, eight hundred twenty-one", and thus it is an aban number.