82346656 has 36 divisors (see below), whose sum is σ = 188592138. Its totient is φ = 35290752.

The previous prime is 82346653. The next prime is 82346659. The reversal of 82346656 is 65664328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82346653) and next prime (82346659).

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 10368400 = 8484^2 + 3220^2 .

It is not an unprimeable number, because it can be changed into a prime (82346651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24691 + ... + 27826.

Almost surely, 2^82346656 is an apocalyptic number.

It is an amenable number.

82346656 is an abundant number, since it is smaller than the sum of its proper divisors (106245482).

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

82346656 is a wasteful number, since it uses less digits than its factorization.

82346656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52541 (or 52526 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 82346656 is about 9074.5058267654. The cubic root of 82346656 is about 435.0594995021.

The spelling of 82346656 in words is "eighty-two million, three hundred forty-six thousand, six hundred fifty-six".