10842819 has 16 divisors (see below), whose sum is σ = 15951264. Its totient is φ = 6508800.

The previous prime is 10842803. The next prime is 10842823. The reversal of 10842819 is 91824801.

10842819 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10842819 - 2⁴ = 10842803 is a prime.

It is a super-2 number, since 2×10842819² = 235133447733522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10842819.

It is not an unprimeable number, because it can be changed into a prime (10842859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (996954).

Almost surely, 2^10842819 is an apocalyptic number.

10842819 is a deficient number, since it is larger than the sum of its proper divisors (5108445).

10842819 is a wasteful number, since it uses less digits than its factorization.

10842819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10842819 is about 3292.8436039387. The cubic root of 10842819 is about 221.3336279350. Note that the first 3 decimals are identical.

The spelling of 10842819 in words is "ten million, eight hundred forty-two thousand, eight hundred nineteen".