83312641 has 8 divisors (see below), whose sum is σ = 86969384. Its totient is φ = 79729920.

The previous prime is 83312639. The next prime is 83312651. The reversal of 83312641 is 14621338.

It can be written as a sum of positive squares in 4 ways, for example, as 32490000 + 50822641 = 5700^2 + 7129^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 83312641 - 2¹ = 83312639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83312651) 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, 16200 + ... + 20713.

It is an arithmetic number, because the mean of its divisors is an integer number (10871173).

It is a Proth number, since it is equal to 5085 ⋅ 2¹⁴ + 1 and 5085 < 2¹⁴.

Almost surely, 2^83312641 is an apocalyptic number.

It is an amenable number.

83312641 is a deficient number, since it is larger than the sum of its proper divisors (3656743).

83312641 is a wasteful number, since it uses less digits than its factorization.

83312641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37011.

The product of its digits is 3456, while the sum is 28.

The square root of 83312641 is about 9127.5758556147. The cubic root of 83312641 is about 436.7540765391.

Adding to 83312641 its reverse (14621338), we get a palindrome (97933979).

The spelling of 83312641 in words is "eighty-three million, three hundred twelve thousand, six hundred forty-one".