97605000 has 200 divisors, whose sum is σ = 343038630. Its totient is φ = 25920000.

The previous prime is 97604999. The next prime is 97605017. The reversal of 97605000 is 50679.

It can be written as a sum of positive squares in 5 ways, for example, as 5560164 + 92044836 = 2358^2 + 9594^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 404880 + ... + 405120.

Almost surely, 2^97605000 is an apocalyptic number.

97605000 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 97605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171519315).

97605000 is an abundant number, since it is smaller than the sum of its proper divisors (245433630).

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

97605000 is a wasteful number, since it uses less digits than its factorization.

97605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97605000 is about 9879.5242800451. The cubic root of 97605000 is about 460.4233657450.

Adding to 97605000 its reverse (50679), we get a palindrome (97655679).

The spelling of 97605000 in words is "ninety-seven million, six hundred five thousand".