733000 has 32 divisors (see below), whose sum is σ = 1717560. Its totient is φ = 292800.

The previous prime is 732997. The next prime is 733003. The reversal of 733000 is 337.

733000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (732997) and next prime (733003).

It can be written as a sum of positive squares in 4 ways, for example, as 443556 + 289444 = 666^2 + 538^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (733003) 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, 634 + ... + 1366.

2⁷³³⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 733000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858780).

733000 is an abundant number, since it is smaller than the sum of its proper divisors (984560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

733000 is a wasteful number, since it uses less digits than its factorization.

733000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 13.

The square root of 733000 is about 856.1541917202. The cubic root of 733000 is about 90.1643088997.

Adding to 733000 its reverse (337), we get a palindrome (733337).

The spelling of 733000 in words is "seven hundred thirty-three thousand".