97828 has 12 divisors (see below), whose sum is σ = 176092. Its totient is φ = 47520.

The previous prime is 97813. The next prime is 97829. The reversal of 97828 is 82879.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 14884 = 288^2 + 122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97793 and 97802.

It is not an unprimeable number, because it can be changed into a prime (97829) by changing a digit.

97828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 478.

2⁹⁷⁸²⁸ is an apocalyptic number.

It is an amenable number.

97828 is a deficient number, since it is larger than the sum of its proper divisors (78264).

97828 is a wasteful number, since it uses less digits than its factorization.

97828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 97828 is about 312.7746792821. The cubic root of 97828 is about 46.0773745048.

The spelling of 97828 in words is "ninety-seven thousand, eight hundred twenty-eight".