97015920 has 80 divisors (see below), whose sum is σ = 301706880. Its totient is φ = 25788672.

The previous prime is 97015913. The next prime is 97015921. The reversal of 97015920 is 2951079.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97015921) 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 15 ways as a sum of consecutive naturals, for example, 130911 + ... + 131649.

It is an arithmetic number, because the mean of its divisors is an integer number (3771336).

Almost surely, 2^97015920 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 97015920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150853440).

97015920 is an abundant number, since it is smaller than the sum of its proper divisors (204690960).

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

97015920 is a wasteful number, since it uses less digits than its factorization.

97015920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 97015920 is about 9849.6659841844. The cubic root of 97015920 is about 459.4952244911.

Adding to 97015920 its reverse (2951079), we get a palindrome (99966999).

The spelling of 97015920 in words is "ninety-seven million, fifteen thousand, nine hundred twenty".