97561000 has 32 divisors (see below), whose sum is σ = 228295080. Its totient is φ = 39024000.

The previous prime is 97560997. The next prime is 97561001. The reversal of 97561000 is 16579.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8031556 + 89529444 = 2834^2 + 9462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97561000.

It is not an unprimeable number, because it can be changed into a prime (97561001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47781 + ... + 49780.

Almost surely, 2^97561000 is an apocalyptic number.

It is an amenable number.

97561000 is an abundant number, since it is smaller than the sum of its proper divisors (130734080).

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

97561000 is a wasteful number, since it uses less digits than its factorization.

97561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97582 (or 97568 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 97561000 is about 9877.2972011578. The cubic root of 97561000 is about 460.3541695869.

Adding to 97561000 its reverse (16579), we get a palindrome (97577579).

The spelling of 97561000 in words is "ninety-seven million, five hundred sixty-one thousand".