46133 has 2 divisors, whose sum is σ = 46134. Its totient is φ = 46132.

The previous prime is 46103. The next prime is 46141. The reversal of 46133 is 33164.

46133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 5329 = 202^2 + 73^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46133 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46103) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23066 + 23067.

It is an arithmetic number, because the mean of its divisors is an integer number (23067).

2⁴⁶¹³³ is an apocalyptic number.

It is an amenable number.

46133 is a deficient number, since it is larger than the sum of its proper divisors (1).

46133 is an equidigital number, since it uses as much as digits as its factorization.

46133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 17.

The square root of 46133 is about 214.7859399495. The cubic root of 46133 is about 35.8649777554.

Adding to 46133 its reverse (33164), we get a palindrome (79297).

It can be divided in two parts, 461 and 33, that added together give a palindrome (494).

The spelling of 46133 in words is "forty-six thousand, one hundred thirty-three".