82902336 has 112 divisors (see below), whose sum is σ = 253471680. Its totient is φ = 23633920.

The previous prime is 82902269. The next prime is 82902341. The reversal of 82902336 is 63320928.

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

It is a junction number, because it is equal to n+sod(n) for n = 82902297 and 82902306.

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, 34750 + ... + 37058.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2^82902336 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 82902336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126735840).

82902336 is an abundant number, since it is smaller than the sum of its proper divisors (170569344).

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

82902336 is a wasteful number, since it uses less digits than its factorization.

82902336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 82902336 is about 9105.0719931256. The cubic root of 82902336 is about 436.0359087222.

It can be divided in two parts, 82902 and 336, that added together give a palindrome (83238).

The spelling of 82902336 in words is "eighty-two million, nine hundred two thousand, three hundred thirty-six".