34314057 has 16 divisors (see below), whose sum is σ = 53512000. Its totient is φ = 21671712.

The previous prime is 34314037. The next prime is 34314061. The reversal of 34314057 is 75041343.

It is a de Polignac number, because none of the positive numbers 2^k-34314057 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34314057.

It is not an unprimeable number, because it can be changed into a prime (34314037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32932 + ... + 33957.

It is an arithmetic number, because the mean of its divisors is an integer number (3344500).

Almost surely, 2^34314057 is an apocalyptic number.

It is an amenable number.

34314057 is a deficient number, since it is larger than the sum of its proper divisors (19197943).

34314057 is a wasteful number, since it uses less digits than its factorization.

34314057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66917 (or 66911 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34314057 is about 5857.8201577037. The cubic root of 34314057 is about 324.9555978787.

It can be divided in two parts, 343 and 14057, that added together give a square (14400 = 120²).

The spelling of 34314057 in words is "thirty-four million, three hundred fourteen thousand, fifty-seven".