82082664 has 48 divisors (see below), whose sum is σ = 235387620. Its totient is φ = 25751040.

The previous prime is 82082621. The next prime is 82082669. The reversal of 82082664 is 46628028.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 324900 = 9042^2 + 570^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82082669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32307 + ... + 34754.

Almost surely, 2^82082664 is an apocalyptic number.

It is an amenable number.

82082664 is an abundant number, since it is smaller than the sum of its proper divisors (153304956).

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

82082664 is a wasteful number, since it uses less digits than its factorization.

82082664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67090 (or 67083 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82082664 is about 9059.9483442236. The cubic root of 82082664 is about 434.5940882537.

The spelling of 82082664 in words is "eighty-two million, eighty-two thousand, six hundred sixty-four".