34007123 has 16 divisors (see below), whose sum is σ = 37136160. Its totient is φ = 31021056.

The previous prime is 34007063. The next prime is 34007143. The reversal of 34007123 is 32170043.

It is not a de Polignac number, because 34007123 - 2⁶ = 34007059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34007095 and 34007104.

It is not an unprimeable number, because it can be changed into a prime (34007143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82943 + ... + 83351.

It is an arithmetic number, because the mean of its divisors is an integer number (2321010).

Almost surely, 2^34007123 is an apocalyptic number.

34007123 is a deficient number, since it is larger than the sum of its proper divisors (3129037).

34007123 is a wasteful number, since it uses less digits than its factorization.

34007123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 34007123 is about 5831.5626550694. The cubic root of 34007123 is about 323.9838018372.

Adding to 34007123 its reverse (32170043), we get a palindrome (66177166).

The spelling of 34007123 in words is "thirty-four million, seven thousand, one hundred twenty-three".