10819431 has 24 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 6144336.

The previous prime is 10819427. The next prime is 10819433. The reversal of 10819431 is 13491801.

It is not a de Polignac number, because 10819431 - 2² = 10819427 is a prime.

It is a super-2 number, since 2×10819431² = 234120174327522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10819395 and 10819404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12106 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (748800).

Almost surely, 2^10819431 is an apocalyptic number.

10819431 is a deficient number, since it is larger than the sum of its proper divisors (7151769).

10819431 is a wasteful number, since it uses less digits than its factorization.

10819431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10819431 is about 3289.2903489963. The cubic root of 10819431 is about 221.1743742298.

The spelling of 10819431 in words is "ten million, eight hundred nineteen thousand, four hundred thirty-one".