97824249 has 24 divisors (see below), whose sum is σ = 144997632. Its totient is φ = 63524160.

The previous prime is 97824247. The next prime is 97824253. The reversal of 97824249 is 94242879.

It is not a de Polignac number, because 97824249 - 2¹ = 97824247 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97824241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118452 + ... + 119274.

It is an arithmetic number, because the mean of its divisors is an integer number (6041568).

Almost surely, 2^97824249 is an apocalyptic number.

It is an amenable number.

97824249 is a deficient number, since it is larger than the sum of its proper divisors (47173383).

97824249 is a wasteful number, since it uses less digits than its factorization.

97824249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 97824249 is about 9890.6141871979. The cubic root of 97824249 is about 460.7678558533.

The spelling of 97824249 in words is "ninety-seven million, eight hundred twenty-four thousand, two hundred forty-nine".