233070 has 32 divisors (see below), whose sum is σ = 593568. Its totient is φ = 58368.

The previous prime is 233069. The next prime is 233071. The reversal of 233070 is 70332.

233070 is digitally balanced in base 3, 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 (233069) and next prime (233071).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 233070.

It is not an unprimeable number, because it can be changed into a prime (233071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (18549).

2²³³⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296784).

233070 is an abundant number, since it is smaller than the sum of its proper divisors (360498).

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

233070 is a wasteful number, since it uses less digits than its factorization.

233070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 233070 is about 482.7732386949. The cubic root of 233070 is about 61.5406565723.

The spelling of 233070 in words is "two hundred thirty-three thousand, seventy".