11137953 has 8 divisors (see below), whose sum is σ = 14942368. Its totient is φ = 7379424.

The previous prime is 11137939. The next prime is 11137967. The reversal of 11137953 is 35973111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11137939) and next prime (11137967).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11137953 - 2⁵ = 11137921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11137953.

It is not an unprimeable number, because it can be changed into a prime (11137993) 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 7 ways as a sum of consecutive naturals, for example, 10900 + ... + 11877.

It is an arithmetic number, because the mean of its divisors is an integer number (1867796).

Almost surely, 2^11137953 is an apocalyptic number.

It is an amenable number.

11137953 is a deficient number, since it is larger than the sum of its proper divisors (3804415).

11137953 is a wasteful number, since it uses less digits than its factorization.

11137953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22943.

The product of its digits is 2835, while the sum is 30.

The square root of 11137953 is about 3337.3571879558. The cubic root of 11137953 is about 223.3238606413.

It can be divided in two parts, 11137 and 953, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11137953 in words is "eleven million, one hundred thirty-seven thousand, nine hundred fifty-three".