34005957 has 8 divisors (see below), whose sum is σ = 46306176. Its totient is φ = 22188192.

The previous prime is 34005941. The next prime is 34005971. The reversal of 34005957 is 75950043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34005957 - 2⁴ = 34005941 is a prime.

It is a super-2 number, since 2×34005957² = 2312810222971698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120448 + ... + 120729.

It is an arithmetic number, because the mean of its divisors is an integer number (5788272).

Almost surely, 2^34005957 is an apocalyptic number.

It is an amenable number.

34005957 is a deficient number, since it is larger than the sum of its proper divisors (12300219).

34005957 is a wasteful number, since it uses less digits than its factorization.

34005957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241227.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 34005957 is about 5831.4626810089. The cubic root of 34005957 is about 323.9800989910.

The spelling of 34005957 in words is "thirty-four million, five thousand, nine hundred fifty-seven".