97515000 has 240 divisors, whose sum is σ = 361852920. Its totient is φ = 23520000.

The previous prime is 97514969. The next prime is 97515029. The reversal of 97515000 is 51579.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 494902 + ... + 495098.

Almost surely, 2^97515000 is an apocalyptic number.

97515000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180926460).

97515000 is an abundant number, since it is smaller than the sum of its proper divisors (264337920).

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

97515000 is a wasteful number, since it uses less digits than its factorization.

97515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 97515000 is about 9874.9683543797. The cubic root of 97515000 is about 460.2818059003.

Adding to 97515000 its reverse (51579), we get a palindrome (97566579).

The spelling of 97515000 in words is "ninety-seven million, five hundred fifteen thousand".