82822740 has 288 divisors, whose sum is σ = 318536064. Its totient is φ = 15805440.

The previous prime is 82822739. The next prime is 82822741. The reversal of 82822740 is 4722828.

It is an interprime number because it is at equal distance from previous prime (82822739) and next prime (82822741).

It is a super-2 number, since 2×82822740² = 13719212522215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82822741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420322 + ... + 420518.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 2^82822740 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 82822740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268032).

82822740 is an abundant number, since it is smaller than the sum of its proper divisors (235713324).

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

82822740 is a wasteful number, since it uses less digits than its factorization.

82822740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 82822740 is about 9100.6999730790. The cubic root of 82822740 is about 435.8963154397.

The spelling of 82822740 in words is "eighty-two million, eight hundred twenty-two thousand, seven hundred forty".