34011 has 6 divisors (see below), whose sum is σ = 49140. Its totient is φ = 22668.

The previous prime is 33997. The next prime is 34019. The reversal of 34011 is 11043.

34011 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34011 - 2¹⁰ = 32987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 3779 = 34011 / (3 + 4 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 33984 and 34002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34011.

It is not an unprimeable number, because it can be changed into a prime (34019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1881 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2³⁴⁰¹¹ is an apocalyptic number.

34011 is a deficient number, since it is larger than the sum of its proper divisors (15129).

34011 is a wasteful number, since it uses less digits than its factorization.

34011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 34011 is about 184.4207146716. The cubic root of 34011 is about 32.3996113351.

Adding to 34011 its reverse (11043), we get a palindrome (45054).

It can be divided in two parts, 340 and 11, that added together give a triangular number (351 = T₂₆).

The spelling of 34011 in words is "thirty-four thousand, eleven".