122733 has 12 divisors (see below), whose sum is σ = 191100. Its totient is φ = 75456.

The previous prime is 122719. The next prime is 122741. The reversal of 122733 is 337221.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 56169 = 258^2 + 237^2 .

It is not a de Polignac number, because 122733 - 2⁵ = 122701 is a prime.

122733 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (15925).

2¹²²⁷³³ is an apocalyptic number.

122733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122733 is a deficient number, since it is larger than the sum of its proper divisors (68367).

122733 is a wasteful number, since it uses less digits than its factorization.

122733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 122733 is about 350.3326990162. The cubic root of 122733 is about 49.6958873939.

Adding to 122733 its reverse (337221), we get a palindrome (459954).

The spelling of 122733 in words is "one hundred twenty-two thousand, seven hundred thirty-three".