340033 has 4 divisors (see below), whose sum is σ = 341380. Its totient is φ = 338688.

The previous prime is 340031. The next prime is 340037. The reversal of 340033 is 330043.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330043 = 7 ⋅47149.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 242064 = 313^2 + 492^2 .

It is a 3-Lehmer number, since φ(340033) divides (340033-1)³.

It is a cyclic number.

It is not a de Polignac number, because 340033 - 2¹ = 340031 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 339995 and 340022.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340033.

It is not an unprimeable number, because it can be changed into a prime (340031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 841.

It is an arithmetic number, because the mean of its divisors is an integer number (85345).

2³⁴⁰⁰³³ is an apocalyptic number.

340033 is the 337-th octagonal number.

It is an amenable number.

340033 is a deficient number, since it is larger than the sum of its proper divisors (1347).

340033 is a wasteful number, since it uses less digits than its factorization.

340033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346.

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 340033 is about 583.1234860645. The cubic root of 340033 is about 69.7975784799.

Adding to 340033 its reverse (330043), we get a palindrome (670076).

The spelling of 340033 in words is "three hundred forty thousand, thirty-three".