34257 has 8 divisors (see below), whose sum is σ = 48160. Its totient is φ = 21600.

The previous prime is 34253. The next prime is 34259. The reversal of 34257 is 75243.

It is a happy number.

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

It is not a de Polignac number, because 34257 - 2² = 34253 is a prime.

It is a Duffinian number.

34257 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34257.

It is not an unprimeable number, because it can be changed into a prime (34253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (6020).

2³⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

34257 is a deficient number, since it is larger than the sum of its proper divisors (13903).

34257 is a wasteful number, since it uses less digits than its factorization.

34257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its digits is 840, while the sum is 21.

The square root of 34257 is about 185.0864662800. The cubic root of 34257 is about 32.4775387209.

The spelling of 34257 in words is "thirty-four thousand, two hundred fifty-seven".