830952 has 32 divisors (see below), whose sum is σ = 2308800. Its totient is φ = 276912.

The previous prime is 830939. The next prime is 830957. The reversal of 830952 is 259038.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (830957) by changing a digit.

830952 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, 1708 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (72150).

2⁸³⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

830952 is an abundant number, since it is smaller than the sum of its proper divisors (1477848).

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

830952 is a wasteful number, since it uses less digits than its factorization.

830952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 830952 is about 911.5656860589. The cubic root of 830952 is about 94.0138805517.

The spelling of 830952 in words is "eight hundred thirty thousand, nine hundred fifty-two".