97506 has 12 divisors (see below), whose sum is σ = 211302. Its totient is φ = 32496.

The previous prime is 97501. The next prime is 97511. The reversal of 97506 is 60579.

It is an interprime number because it is at equal distance from previous prime (97501) and next prime (97511).

It can be written as a sum of positive squares in only one way, i.e., 95481 + 2025 = 309^2 + 45^2 .

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 97506.

It is not an unprimeable number, because it can be changed into a prime (97501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2691 + ... + 2726.

2⁹⁷⁵⁰⁶ is an apocalyptic number.

97506 is an abundant number, since it is smaller than the sum of its proper divisors (113796).

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

97506 is a wasteful number, since it uses less digits than its factorization.

97506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5422 counting only the distinct ones).

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

The square root of 97506 is about 312.2595074613. The cubic root of 97506 is about 46.0267645126.

Subtracting from 97506 its sum of digits (27), we obtain a palindrome (97479).

The spelling of 97506 in words is "ninety-seven thousand, five hundred six".