10538919 has 24 divisors (see below), whose sum is σ = 15912000. Its totient is φ = 6713280.

The previous prime is 10538911. The next prime is 10538923. The reversal of 10538919 is 91983501.

10538919 = 415² + 416² + ... + 468².

It is a happy number.

It is not a de Polignac number, because 10538919 - 2³ = 10538911 is a prime.

It is a super-2 number, since 2×10538919² = 222137627377122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10538911) 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, 38754 + ... + 39024.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^10538919 is an apocalyptic number.

10538919 is a deficient number, since it is larger than the sum of its proper divisors (5373081).

10538919 is a wasteful number, since it uses less digits than its factorization.

10538919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 10538919 is about 3246.3701267724. The cubic root of 10538919 is about 219.2461734186.

The spelling of 10538919 in words is "ten million, five hundred thirty-eight thousand, nine hundred nineteen".