97533 has 6 divisors (see below), whose sum is σ = 140894. Its totient is φ = 65016.

The previous prime is 97523. The next prime is 97547. The reversal of 97533 is 33579.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 26244 = 267^2 + 162^2 .

It is not a de Polignac number, because 97533 - 2⁵ = 97501 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 97497 and 97506.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5410 + ... + 5427.

2⁹⁷⁵³³ is an apocalyptic number.

It is an amenable number.

97533 is a deficient number, since it is larger than the sum of its proper divisors (43361).

97533 is a wasteful number, since it uses less digits than its factorization.

97533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843 (or 10840 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 97533 is about 312.3027377402. The cubic root of 97533 is about 46.0310124835.

It can be divided in two parts, 97 and 533, that added together give a triangular number (630 = T₃₅).

The spelling of 97533 in words is "ninety-seven thousand, five hundred thirty-three".