10835172 has 18 divisors (see below), whose sum is σ = 27388998. Its totient is φ = 3611712.

The previous prime is 10835147. The next prime is 10835207. The reversal of 10835172 is 27153801.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 181476 = 3264^2 + 426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 150453 + ... + 150524.

It is an arithmetic number, because the mean of its divisors is an integer number (1521611).

Almost surely, 2^10835172 is an apocalyptic number.

10835172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10835172 is an abundant number, since it is smaller than the sum of its proper divisors (16553826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10835172 is a wasteful number, since it uses less digits than its factorization.

10835172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300987 (or 300982 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10835172 is about 3291.6822446889. The cubic root of 10835172 is about 221.2815831577.

Adding to 10835172 its reverse (27153801), we get a palindrome (37988973).

The spelling of 10835172 in words is "ten million, eight hundred thirty-five thousand, one hundred seventy-two".