8219961 has 12 divisors (see below), whose sum is σ = 12313392. Its totient is φ = 5479812.

The previous prime is 8219941. The next prime is 8219969. The reversal of 8219961 is 1699128.

It is not a de Polignac number, because 8219961 - 2¹³ = 8211769 is a prime.

It is an Ulam number.

It is a Curzon number.

8219961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8219969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16671 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (1026116).

Almost surely, 2^8219961 is an apocalyptic number.

8219961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8219961 is a deficient number, since it is larger than the sum of its proper divisors (4093431).

8219961 is an equidigital number, since it uses as much as digits as its factorization.

8219961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33842 (or 33830 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 8219961 is about 2867.0474359522. The cubic root of 8219961 is about 201.8164607397.

It can be divided in two parts, 8219 and 961, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8219961 in words is "eight million, two hundred nineteen thousand, nine hundred sixty-one".