82164300 has 36 divisors (see below), whose sum is σ = 237729576. Its totient is φ = 21910400.

The previous prime is 82164293. The next prime is 82164317. The reversal of 82164300 is 346128.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136641 + ... + 137240.

Almost surely, 2^82164300 is an apocalyptic number.

It is an amenable number.

82164300 is an abundant number, since it is smaller than the sum of its proper divisors (155565276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82164300 is a wasteful number, since it uses less digits than its factorization.

82164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273898 (or 273891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 82164300 is about 9064.4525482789. The cubic root of 82164300 is about 434.7381169110.

The spelling of 82164300 in words is "eighty-two million, one hundred sixty-four thousand, three hundred".