97628 has 6 divisors (see below), whose sum is σ = 170856. Its totient is φ = 48812.

The previous prime is 97613. The next prime is 97649. The reversal of 97628 is 82679.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 97594 and 97603.

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 97628.

It is an unprimeable number.

97628 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 as a sum of consecutive naturals, namely, 12200 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (28476).

2⁹⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

97628 is a deficient number, since it is larger than the sum of its proper divisors (73228).

97628 is a wasteful number, since it uses less digits than its factorization.

97628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24411 (or 24409 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 97628 is about 312.4547967307. The cubic root of 97628 is about 46.0459528188.

The spelling of 97628 in words is "ninety-seven thousand, six hundred twenty-eight".