10537891 has 24 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 8184960.

The previous prime is 10537871. The next prime is 10537907. The reversal of 10537891 is 19873501.

It is a happy number.

It is not a de Polignac number, because 10537891 - 2⁹ = 10537379 is a prime.

It is a super-2 number, since 2×10537891² = 222094293455762, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10537801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45111 + ... + 45343.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 2^10537891 is an apocalyptic number.

10537891 is a deficient number, since it is larger than the sum of its proper divisors (2906813).

10537891 is a wasteful number, since it uses less digits than its factorization.

10537891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 10537891 is about 3246.2117922280. The cubic root of 10537891 is about 219.2390445283.

The spelling of 10537891 in words is "ten million, five hundred thirty-seven thousand, eight hundred ninety-one".