264133 has 2 divisors, whose sum is σ = 264134. Its totient is φ = 264132.

The previous prime is 264127. The next prime is 264137. The reversal of 264133 is 331462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 16129 = 498^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 264133 - 2⁵ = 264101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132066 + 132067.

It is an arithmetic number, because the mean of its divisors is an integer number (132067).

2²⁶⁴¹³³ is an apocalyptic number.

It is an amenable number.

264133 is a deficient number, since it is larger than the sum of its proper divisors (1).

264133 is an equidigital number, since it uses as much as digits as its factorization.

264133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 19.

The square root of 264133 is about 513.9387122994. The cubic root of 264133 is about 64.1614575708.

Adding to 264133 its reverse (331462), we get a palindrome (595595).

It can be divided in two parts, 2641 and 33, that multiplied together give a triangular number (87153 = T₄₁₇).

The spelling of 264133 in words is "two hundred sixty-four thousand, one hundred thirty-three".