82173000 has 384 divisors, whose sum is σ = 328648320. Its totient is φ = 16934400.

The previous prime is 82172999. The next prime is 82173001. The reversal of 82173000 is 37128.

82173000 = T₆ + T₇ + ... + T₇₈₉.

It is an interprime number because it is at equal distance from previous prime (82172999) and next prime (82173001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (82173001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1910979 + ... + 1911021.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^82173000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

82173000 is an abundant number, since it is smaller than the sum of its proper divisors (246475320).

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

82173000 is a wasteful number, since it uses less digits than its factorization.

82173000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 82173000 is about 9064.9324321806. The cubic root of 82173000 is about 434.7534605097.

The spelling of 82173000 in words is "eighty-two million, one hundred seventy-three thousand".