97829144 has 16 divisors (see below), whose sum is σ = 209634000. Its totient is φ = 41926752.

The previous prime is 97829141. The next prime is 97829159. The reversal of 97829144 is 44192879.

It is a junction number, because it is equal to n+sod(n) for n = 97829095 and 97829104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97829141) 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, 873419 + ... + 873530.

It is an arithmetic number, because the mean of its divisors is an integer number (13102125).

Almost surely, 2^97829144 is an apocalyptic number.

It is an amenable number.

97829144 is an abundant number, since it is smaller than the sum of its proper divisors (111804856).

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

97829144 is a wasteful number, since it uses less digits than its factorization.

97829144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746962 (or 1746958 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 97829144 is about 9890.8616409290. The cubic root of 97829144 is about 460.7755411360.

The spelling of 97829144 in words is "ninety-seven million, eight hundred twenty-nine thousand, one hundred forty-four".