97829984 has 24 divisors (see below), whose sum is σ = 220117968. Its totient is φ = 41927040.

The previous prime is 97829981. The next prime is 97829989. The reversal of 97829984 is 48992879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97829981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 218147 + ... + 218594.

It is an arithmetic number, because the mean of its divisors is an integer number (9171582).

Almost surely, 2^97829984 is an apocalyptic number.

It is an amenable number.

97829984 is an abundant number, since it is smaller than the sum of its proper divisors (122287984).

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

97829984 is a wasteful number, since it uses less digits than its factorization.

97829984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436758 (or 436750 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 56.

The square root of 97829984 is about 9890.9041042768. The cubic root of 97829984 is about 460.7768599330.

The spelling of 97829984 in words is "ninety-seven million, eight hundred twenty-nine thousand, nine hundred eighty-four".