82600133 has 12 divisors (see below), whose sum is σ = 104821632. Its totient is φ = 64363320.

The previous prime is 82600081. The next prime is 82600139. The reversal of 82600133 is 33100628.

It is not a de Polignac number, because 82600133 - 2⁶ = 82600069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82600099 and 82600108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82600139) 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, 76085 + ... + 77162.

It is an arithmetic number, because the mean of its divisors is an integer number (8735136).

Almost surely, 2^82600133 is an apocalyptic number.

It is an amenable number.

82600133 is a deficient number, since it is larger than the sum of its proper divisors (22221499).

82600133 is a wasteful number, since it uses less digits than its factorization.

82600133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153272 (or 153265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 82600133 is about 9088.4615309743. The cubic root of 82600133 is about 435.5054379456.

The spelling of 82600133 in words is "eighty-two million, six hundred thousand, one hundred thirty-three".