34400133 has 10 divisors (see below), whose sum is σ = 51387974. Its totient is φ = 22933368.

The previous prime is 34400131. The next prime is 34400141. The reversal of 34400133 is 33100443.

It can be written as a sum of positive squares in only one way, i.e., 33907329 + 492804 = 5823^2 + 702^2 .

It is not a de Polignac number, because 34400133 - 2¹ = 34400131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 212266 + ... + 212427.

Almost surely, 2^34400133 is an apocalyptic number.

It is an amenable number.

34400133 is a deficient number, since it is larger than the sum of its proper divisors (16987841).

34400133 is an equidigital number, since it uses as much as digits as its factorization.

34400133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424705 (or 424696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34400133 is about 5865.1626575910. The cubic root of 34400133 is about 325.2270854743.

Adding to 34400133 its reverse (33100443), we get a palindrome (67500576).

The spelling of 34400133 in words is "thirty-four million, four hundred thousand, one hundred thirty-three".