83264643 has 48 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 42419520.

The previous prime is 83264617. The next prime is 83264651. The reversal of 83264643 is 34646238.

It is a happy number.

83264643 is a `hidden beast` number, since 8 + 3 + 2 + 6 + 4 + 643 = 666.

It is not a de Polignac number, because 83264643 - 2⁶ = 83264579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83264598 and 83264607.

It is not an unprimeable number, because it can be changed into a prime (83264653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35596 + ... + 37862.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^83264643 is an apocalyptic number.

83264643 is a deficient number, since it is larger than the sum of its proper divisors (69580413).

83264643 is a wasteful number, since it uses less digits than its factorization.

83264643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2341 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 83264643 is about 9124.9461916222. The cubic root of 83264643 is about 436.6701863115.

The spelling of 83264643 in words is "eighty-three million, two hundred sixty-four thousand, six hundred forty-three".