82964736 has 90 divisors (see below), whose sum is σ = 247447662. Its totient is φ = 27648000.

The previous prime is 82964731. The next prime is 82964741. The reversal of 82964736 is 63746928.

It is an interprime number because it is at equal distance from previous prime (82964731) and next prime (82964741).

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 33177600 = 7056^2 + 5760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82964691 and 82964700.

It is not an unprimeable number, because it can be changed into a prime (82964731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18736 + ... + 22736.

Almost surely, 2^82964736 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 82964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123723831).

82964736 is an abundant number, since it is smaller than the sum of its proper divisors (164482926).

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

82964736 is an equidigital number, since it uses as much as digits as its factorization.

82964736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4006 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82964736 is about 9108.4980101002. The cubic root of 82964736 is about 436.1452816635.

The spelling of 82964736 in words is "eighty-two million, nine hundred sixty-four thousand, seven hundred thirty-six".