123733 has 2 divisors, whose sum is σ = 123734. Its totient is φ = 123732.

The previous prime is 123731. The next prime is 123737. The reversal of 123733 is 337321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 6084 = 343^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 123733 - 2¹ = 123731 is a prime.

Together with 123731, it forms a pair of twin primes.

It is equal to p₁₁₆₂₉ and since 123733 and 11629 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 123733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61866 + 61867.

It is an arithmetic number, because the mean of its divisors is an integer number (61867).

2¹²³⁷³³ is an apocalyptic number.

It is an amenable number.

123733 is a deficient number, since it is larger than the sum of its proper divisors (1).

123733 is an equidigital number, since it uses as much as digits as its factorization.

123733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 19.

The square root of 123733 is about 351.7570184090. The cubic root of 123733 is about 49.8304926613.

The spelling of 123733 in words is "one hundred twenty-three thousand, seven hundred thirty-three".