34007 has 4 divisors (see below), whose sum is σ = 35136. Its totient is φ = 32880.

The previous prime is 33997. The next prime is 34019. The reversal of 34007 is 70043.

34007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70043 = 89 ⋅787.

It is a cyclic number.

It is not a de Polignac number, because 34007 - 2⁸ = 33751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33982 and 34000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (8784).

2³⁴⁰⁰⁷ is an apocalyptic number.

34007 is a deficient number, since it is larger than the sum of its proper divisors (1129).

34007 is a wasteful number, since it uses less digits than its factorization.

34007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 34007 is about 184.4098695840. The cubic root of 34007 is about 32.3983411232.

It can be divided in two parts, 3 and 4007, that multiplied together give a palindrome (12021).

The spelling of 34007 in words is "thirty-four thousand, seven".