46633 has 2 divisors, whose sum is σ = 46634. Its totient is φ = 46632.

The previous prime is 46619. The next prime is 46639. The reversal of 46633 is 33664.

46633 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., 34969 + 11664 = 187^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 46633 - 2⁵ = 46601 is a prime.

It is a nialpdrome in base 6.

It is not a weakly prime, because it can be changed into another prime (46639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23316 + 23317.

It is an arithmetic number, because the mean of its divisors is an integer number (23317).

46633 is a Friedman number, since it can be written as 6^6+4-3^3, using all its digits and the basic arithmetic operations.

2⁴⁶⁶³³ is an apocalyptic number.

It is an amenable number.

46633 is a deficient number, since it is larger than the sum of its proper divisors (1).

46633 is an equidigital number, since it uses as much as digits as its factorization.

46633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 22.

The square root of 46633 is about 215.9467526961. The cubic root of 46633 is about 35.9940833898.

The spelling of 46633 in words is "forty-six thousand, six hundred thirty-three".