82817802 has 96 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 25446960.

The previous prime is 82817783. The next prime is 82817821. The reversal of 82817802 is 20871828.

It is an interprime number because it is at equal distance from previous prime (82817783) and next prime (82817821).

It is a super-2 number, since 2×82817802² = 13717576656222408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346399 + ... + 346637.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^82817802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82817802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

82817802 is an abundant number, since it is smaller than the sum of its proper divisors (118459638).

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

82817802 is a wasteful number, since it uses less digits than its factorization.

82817802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82817802 is about 9100.4286712220. The cubic root of 82817802 is about 435.8876523649.

The spelling of 82817802 in words is "eighty-two million, eight hundred seventeen thousand, eight hundred two".