137233 has 4 divisors (see below), whose sum is σ = 140980. Its totient is φ = 133488.

The previous prime is 137219. The next prime is 137239. The reversal of 137233 is 332731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 332731 = 7 ⋅47533.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 54289 = 288^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 137233 - 2⁵ = 137201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137233.

It is not an unprimeable number, because it can be changed into a prime (137239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1818 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (35245).

2¹³⁷²³³ is an apocalyptic number.

It is an amenable number.

137233 is a deficient number, since it is larger than the sum of its proper divisors (3747).

137233 is an equidigital number, since it uses as much as digits as its factorization.

137233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746.

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

The square root of 137233 is about 370.4497266837. The cubic root of 137233 is about 51.5805757869.

Adding to 137233 its reverse (332731), we get a palindrome (469964).

The spelling of 137233 in words is "one hundred thirty-seven thousand, two hundred thirty-three".