10535937 has 32 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 6140160.

The previous prime is 10535929. The next prime is 10535957. The reversal of 10535937 is 73953501.

It is not a de Polignac number, because 10535937 - 2³ = 10535929 is a prime.

It is a super-2 number, since 2×10535937² = 222011936935938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10535898 and 10535907.

It is not an unprimeable number, because it can be changed into a prime (10535957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80362 + ... + 80492.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^10535937 is an apocalyptic number.

10535937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10535937 is a deficient number, since it is larger than the sum of its proper divisors (5430783).

10535937 is a wasteful number, since it uses less digits than its factorization.

10535937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 10535937 is about 3245.9108120834. The cubic root of 10535937 is about 219.2254928105.

The spelling of 10535937 in words is "ten million, five hundred thirty-five thousand, nine hundred thirty-seven".