830093 has 16 divisors (see below), whose sum is σ = 1005696. Its totient is φ = 675840.

The previous prime is 830051. The next prime is 830099. The reversal of 830093 is 390038.

830093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 830093 - 2¹⁰ = 829069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

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 830093.

It is not an unprimeable number, because it can be changed into a prime (830099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (62856).

2⁸³⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

830093 is a deficient number, since it is larger than the sum of its proper divisors (175603).

830093 is a wasteful number, since it uses less digits than its factorization.

830093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 830093 is about 911.0943968657. The cubic root of 830093 is about 93.9814736388.

Adding to 830093 its sum of digits (23), we get a triangular number (830116 = T₁₂₈₈).

The spelling of 830093 in words is "eight hundred thirty thousand, ninety-three".