11834953 has 16 divisors (see below), whose sum is σ = 13199760. Its totient is φ = 10543104.

The previous prime is 11834951. The next prime is 11834959. The reversal of 11834953 is 35943811.

It can be written as a sum of positive squares in 8 ways, for example, as 1646089 + 10188864 = 1283^2 + 3192^2 .

It is not a de Polignac number, because 11834953 - 2¹ = 11834951 is a prime.

It is a super-2 number, since 2×11834953² = 280132225024418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11834951) 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 15 ways as a sum of consecutive naturals, for example, 61225 + ... + 61417.

It is an arithmetic number, because the mean of its divisors is an integer number (824985).

Almost surely, 2^11834953 is an apocalyptic number.

11834953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11834953 is a deficient number, since it is larger than the sum of its proper divisors (1364807).

11834953 is a wasteful number, since it uses less digits than its factorization.

11834953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its digits is 12960, while the sum is 34.

The square root of 11834953 is about 3440.1966513558. The cubic root of 11834953 is about 227.8883789837. Note that the first 3 decimals are identical.

The spelling of 11834953 in words is "eleven million, eight hundred thirty-four thousand, nine hundred fifty-three".