97292133 has 12 divisors (see below), whose sum is σ = 142837708. Its totient is φ = 63797760.

The previous prime is 97292113. The next prime is 97292161. The reversal of 97292133 is 33129279.

It can be written as a sum of positive squares in 2 ways, for example, as 22071204 + 75220929 = 4698^2 + 8673^2 .

It is not a de Polignac number, because 97292133 - 2⁸ = 97291877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97292113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88060 + ... + 89157.

Almost surely, 2^97292133 is an apocalyptic number.

It is an amenable number.

97292133 is a deficient number, since it is larger than the sum of its proper divisors (45545575).

97292133 is a wasteful number, since it uses less digits than its factorization.

97292133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177284 (or 177281 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 97292133 is about 9863.6774582303. The cubic root of 97292133 is about 459.9308859616.

It can be divided in two parts, 97 and 292133, that added together give a triangular number (292230 = T₇₆₄).

The spelling of 97292133 in words is "ninety-seven million, two hundred ninety-two thousand, one hundred thirty-three".