82917120 has 288 divisors, whose sum is σ = 313173504. Its totient is φ = 18432000.

The previous prime is 82917113. The next prime is 82917127. The reversal of 82917120 is 2171928.

It is an interprime number because it is at equal distance from previous prime (82917113) and next prime (82917127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82917127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549045 + ... + 549195.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^82917120 is an apocalyptic number.

82917120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

82917120 is an abundant number, since it is smaller than the sum of its proper divisors (230256384).

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

82917120 is a wasteful number, since it uses less digits than its factorization.

82917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 82917120 is about 9105.8838121294. The cubic root of 82917120 is about 436.0618266558.

The spelling of 82917120 in words is "eighty-two million, nine hundred seventeen thousand, one hundred twenty".