821672613 has 32 divisors (see below), whose sum is σ = 1287603200. Its totient is φ = 516423600.

The previous prime is 821672609. The next prime is 821672617. The reversal of 821672613 is 316276128.

It is an interprime number because it is at equal distance from previous prime (821672609) and next prime (821672617).

It is not a de Polignac number, because 821672613 - 2² = 821672609 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821672617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104448 + ... + 112038.

It is an arithmetic number, because the mean of its divisors is an integer number (40237600).

Almost surely, 2^821672613 is an apocalyptic number.

It is an amenable number.

821672613 is a deficient number, since it is larger than the sum of its proper divisors (465930587).

821672613 is a wasteful number, since it uses less digits than its factorization.

821672613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7824 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 821672613 is about 28664.8323385992. The cubic root of 821672613 is about 936.6261322586.

The spelling of 821672613 in words is "eight hundred twenty-one million, six hundred seventy-two thousand, six hundred thirteen".