34319201 has 16 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 28131840.

The previous prime is 34319191. The next prime is 34319227. The reversal of 34319201 is 10291343.

It is a cyclic number.

It is not a de Polignac number, because 34319201 - 2¹⁰ = 34318177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34319261) 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, 18425 + ... + 20201.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2^34319201 is an apocalyptic number.

34319201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34319201 is a deficient number, since it is larger than the sum of its proper divisors (6645919).

34319201 is a wasteful number, since it uses less digits than its factorization.

34319201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 34319201 is about 5858.2592124282. The cubic root of 34319201 is about 324.9718350346.

The spelling of 34319201 in words is "thirty-four million, three hundred nineteen thousand, two hundred one".