97650 has 72 divisors (see below), whose sum is σ = 309504. Its totient is φ = 21600.

The previous prime is 97649. The next prime is 97651. The reversal of 97650 is 5679.

97650 = 45² + 46² + ... + 72².

97650 is a `hidden beast` number, since 9 + 7 + 650 = 666.

It is an interprime number because it is at equal distance from previous prime (97649) and next prime (97651).

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97651) 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 35 ways as a sum of consecutive naturals, for example, 3135 + ... + 3165.

2⁹⁷⁶⁵⁰ is an apocalyptic number.

97650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752).

97650 is an abundant number, since it is smaller than the sum of its proper divisors (211854).

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

97650 is a wasteful number, since it uses less digits than its factorization.

97650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

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

The square root of 97650 is about 312.4899998400. The cubic root of 97650 is about 46.0494113036.

It can be divided in two parts, 97 and 650, that added together give a palindrome (747).

The spelling of 97650 in words is "ninety-seven thousand, six hundred fifty".