82893000 has 64 divisors (see below), whose sum is σ = 258635520. Its totient is φ = 22104000.

The previous prime is 82892983. The next prime is 82893011. The reversal of 82893000 is 39828.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10816 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (4041180).

Almost surely, 2^82893000 is an apocalyptic number.

It is an amenable number.

82893000 is an abundant number, since it is smaller than the sum of its proper divisors (175742520).

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

82893000 is a wasteful number, since it uses less digits than its factorization.

82893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27655 (or 27641 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 82893000 is about 9104.5592974070. The cubic root of 82893000 is about 436.0195401281.

The spelling of 82893000 in words is "eighty-two million, eight hundred ninety-three thousand".