82826352 has 120 divisors (see below), whose sum is σ = 267411456. Its totient is φ = 23442048.

The previous prime is 82826351. The next prime is 82826353. The reversal of 82826352 is 25362828.

It is an interprime number because it is at equal distance from previous prime (82826351) and next prime (82826353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82826351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127693 + ... + 128339.

Almost surely, 2^82826352 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 82826352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133705728).

82826352 is an abundant number, since it is smaller than the sum of its proper divisors (184585104).

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

82826352 is a wasteful number, since it uses less digits than its factorization.

82826352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 82826352 is about 9100.8984171894. The cubic root of 82826352 is about 435.9026520030.

The spelling of 82826352 in words is "eighty-two million, eight hundred twenty-six thousand, three hundred fifty-two".