82864504241 has 8 divisors (see below), whose sum is σ = 82982058984. Its totient is φ = 82747025920.

The previous prime is 82864504211. The next prime is 82864504253. The reversal of 82864504241 is 14240546828.

It can be written as a sum of positive squares in 4 ways, for example, as 28183358641 + 54681145600 = 167879^2 + 233840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82864504241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82864504192 and 82864504201.

It is not an unprimeable number, because it can be changed into a prime (82864504211) 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, 2356001 + ... + 2390913.

It is an arithmetic number, because the mean of its divisors is an integer number (10372757373).

Almost surely, 2^82864504241 is an apocalyptic number.

It is an amenable number.

82864504241 is a deficient number, since it is larger than the sum of its proper divisors (117554743).

82864504241 is a wasteful number, since it uses less digits than its factorization.

82864504241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38211.

The product of its (nonzero) digits is 491520, while the sum is 44.

The spelling of 82864504241 in words is "eighty-two billion, eight hundred sixty-four million, five hundred four thousand, two hundred forty-one".