97529 has 4 divisors (see below), whose sum is σ = 103284. Its totient is φ = 91776.

The previous prime is 97523. The next prime is 97547. The reversal of 97529 is 92579.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92579 = 43 ⋅2153.

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 67600 = 173^2 + 260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-97529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97495 and 97504.

It is not an unprimeable number, because it can be changed into a prime (97523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2852 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (25821).

2⁹⁷⁵²⁹ is an apocalyptic number.

It is an amenable number.

97529 is a deficient number, since it is larger than the sum of its proper divisors (5755).

97529 is a wasteful number, since it uses less digits than its factorization.

97529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754.

The product of its digits is 5670, while the sum is 32.

The square root of 97529 is about 312.2963336320. The cubic root of 97529 is about 46.0303832040.

Subtracting from 97529 its reverse (92579), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 97 and 529, that added together give a palindrome (626).

The spelling of 97529 in words is "ninety-seven thousand, five hundred twenty-nine".