34004097 has 32 divisors (see below), whose sum is σ = 55676160. Its totient is φ = 20401920.

The previous prime is 34004083. The next prime is 34004149. The reversal of 34004097 is 79040043.

It is not a de Polignac number, because 34004097 - 2⁴ = 34004081 is a prime.

It is a super-2 number, since 2×34004097² = 2312557225570818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34004097.

It is not an unprimeable number, because it can be changed into a prime (34004017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8947 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (1739880).

Almost surely, 2^34004097 is an apocalyptic number.

It is an amenable number.

34004097 is a deficient number, since it is larger than the sum of its proper divisors (21672063).

34004097 is a wasteful number, since it uses less digits than its factorization.

34004097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34004097 is about 5831.3031991142. The cubic root of 34004097 is about 323.9741920459.

The spelling of 34004097 in words is "thirty-four million, four thousand, ninety-seven".