826216083 has 96 divisors (see below), whose sum is σ = 1581465600. Its totient is φ = 402667200.

The previous prime is 826216073. The next prime is 826216093. The reversal of 826216083 is 380612628.

826216083 is a `hidden beast` number, since 8 + 26 + 21 + 608 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (826216073) and next prime (826216093).

It is not a de Polignac number, because 826216083 - 2⁴ = 826216067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (826216033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1724638 + ... + 1725116.

It is an arithmetic number, because the mean of its divisors is an integer number (16473600).

Almost surely, 2^826216083 is an apocalyptic number.

826216083 is a deficient number, since it is larger than the sum of its proper divisors (755249517).

826216083 is a wasteful number, since it uses less digits than its factorization.

826216083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 826216083 is about 28743.9747251489. The cubic root of 826216083 is about 938.3493299422.

The spelling of 826216083 in words is "eight hundred twenty-six million, two hundred sixteen thousand, eighty-three".