82193000 has 32 divisors (see below), whose sum is σ = 192333960. Its totient is φ = 32876800.

The previous prime is 82192973. The next prime is 82193009. The reversal of 82193000 is 39128.

It can be written as a sum of positive squares in 4 ways, for example, as 4153444 + 78039556 = 2038^2 + 8834^2 .

It is not an unprimeable number, because it can be changed into a prime (82193009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40097 + ... + 42096.

Almost surely, 2^82193000 is an apocalyptic number.

It is an amenable number.

82193000 is an abundant number, since it is smaller than the sum of its proper divisors (110140960).

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

82193000 is a wasteful number, since it uses less digits than its factorization.

82193000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82214 (or 82200 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 82193000 is about 9066.0355172479. The cubic root of 82193000 is about 434.7887290443.

The spelling of 82193000 in words is "eighty-two million, one hundred ninety-three thousand".