97949000 has 64 divisors (see below), whose sum is σ = 234889200. Its totient is φ = 38208000.

The previous prime is 97948999. The next prime is 97949011. The reversal of 97949000 is 94979.

It can be written as a sum of positive squares in 8 ways, for example, as 5827396 + 92121604 = 2414^2 + 9598^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39806 + ... + 42194.

Almost surely, 2^97949000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117444600).

97949000 is an abundant number, since it is smaller than the sum of its proper divisors (136940200).

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

97949000 is a wasteful number, since it uses less digits than its factorization.

97949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 97949000 is about 9896.9187124074. The cubic root of 97949000 is about 460.9636383722.

The spelling of 97949000 in words is "ninety-seven million, nine hundred forty-nine thousand".