828972 has 18 divisors (see below), whose sum is σ = 2095548. Its totient is φ = 276312.

The previous prime is 828967. The next prime is 828977. The reversal of 828972 is 279828.

It is an interprime number because it is at equal distance from previous prime (828967) and next prime (828977).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 23027 = 828972 / (8 + 2 + 8 + 9 + 7 + 2).

828972 is a modest number, since divided by 972 gives 828 as remainder.

It is not an unprimeable number, because it can be changed into a prime (828977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11478 + ... + 11549.

2⁸²⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

828972 is an abundant number, since it is smaller than the sum of its proper divisors (1266576).

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

828972 is a wasteful number, since it uses less digits than its factorization.

828972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23037 (or 23032 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 828972 is about 910.4789948154. The cubic root of 828972 is about 93.9391487859.

The spelling of 828972 in words is "eight hundred twenty-eight thousand, nine hundred seventy-two".