123533 has 8 divisors (see below), whose sum is σ = 133056. Its totient is φ = 114400.

The previous prime is 123527. The next prime is 123547. The reversal of 123533 is 335321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123533 - 2⁴ = 123517 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2¹²³⁵³³ is an apocalyptic number.

It is an amenable number.

123533 is a deficient number, since it is larger than the sum of its proper divisors (9523).

123533 is a wasteful number, since it uses less digits than its factorization.

123533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 270, while the sum is 17.

The square root of 123533 is about 351.4726162875. The cubic root of 123533 is about 49.8036297844.

Adding to 123533 its reverse (335321), we get a palindrome (458854).

It can be divided in two parts, 1235 and 33, that multiplied together give a triangular number (40755 = T₂₈₅).

The spelling of 123533 in words is "one hundred twenty-three thousand, five hundred thirty-three".