97133 has 4 divisors (see below), whose sum is σ = 97980. Its totient is φ = 96288.

The previous prime is 97127. The next prime is 97151. The reversal of 97133 is 33179.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 64009 = 182^2 + 253^2 .

It is a cyclic number.

It is not a de Polignac number, because 97133 - 2⁴ = 97117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97099 and 97108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97103) 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, 218 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (24495).

2⁹⁷¹³³ is an apocalyptic number.

It is an amenable number.

97133 is a deficient number, since it is larger than the sum of its proper divisors (847).

97133 is a wasteful number, since it uses less digits than its factorization.

97133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846.

The product of its digits is 567, while the sum is 23.

The square root of 97133 is about 311.6616755394. The cubic root of 97133 is about 45.9679991672.

The spelling of 97133 in words is "ninety-seven thousand, one hundred thirty-three".