82917910 has 32 divisors (see below), whose sum is σ = 152740224. Its totient is φ = 32400000.

The previous prime is 82917907. The next prime is 82917929. The reversal of 82917910 is 1971928.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82917910.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110035 + ... + 110785.

It is an arithmetic number, because the mean of its divisors is an integer number (4773132).

Almost surely, 2^82917910 is an apocalyptic number.

82917910 is a deficient number, since it is larger than the sum of its proper divisors (69822314).

82917910 is a wasteful number, since it uses less digits than its factorization.

82917910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its (nonzero) digits is 9072, while the sum is 37.

The square root of 82917910 is about 9105.9271905721. The cubic root of 82917910 is about 436.0632115236.

It can be divided in two parts, 82917 and 910, that multiplied together give a triangular number (75454470 = T₁₂₂₈₄).

The spelling of 82917910 in words is "eighty-two million, nine hundred seventeen thousand, nine hundred ten".