82333288 has 32 divisors (see below), whose sum is σ = 159201000. Its totient is φ = 39889152.

The previous prime is 82333283. The next prime is 82333297. The reversal of 82333288 is 88233328.

It can be written as a sum of positive squares in 4 ways, for example, as 82119844 + 213444 = 9062^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (82333283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102906 + ... + 103702.

Almost surely, 2^82333288 is an apocalyptic number.

It is an amenable number.

82333288 is a deficient number, since it is larger than the sum of its proper divisors (76867712).

82333288 is a wasteful number, since it uses less digits than its factorization.

82333288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 82333288 is about 9073.7692278347. The cubic root of 82333288 is about 435.0359559833.

It can be divided in two parts, 82333 and 288, that added together give a triangular number (82621 = T₄₀₆).

The spelling of 82333288 in words is "eighty-two million, three hundred thirty-three thousand, two hundred eighty-eight".