830172 has 24 divisors (see below), whose sum is σ = 2214016. Its totient is φ = 237168.

The previous prime is 830153. The next prime is 830173. The reversal of 830172 is 271038.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830173) by changing a digit.

830172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 4858 + ... + 5025.

2⁸³⁰¹⁷² is an apocalyptic number.

It is an amenable number.

830172 is an abundant number, since it is smaller than the sum of its proper divisors (1383844).

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

830172 is a wasteful number, since it uses less digits than its factorization.

830172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 830172 is about 911.1377502881. The cubic root of 830172 is about 93.9844549517.

The spelling of 830172 in words is "eight hundred thirty thousand, one hundred seventy-two".