116511 has 8 divisors (see below), whose sum is σ = 157824. Its totient is φ = 76440.

The previous prime is 116507. The next prime is 116531. The reversal of 116511 is 115611.

116511 = T₁₈ + T₁₉ + ... + T₈₈.

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

It is not a de Polignac number, because 116511 - 2² = 116507 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116531) 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 7 ways as a sum of consecutive naturals, for example, 61 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (19728).

2¹¹⁶⁵¹¹ is an apocalyptic number.

116511 is a deficient number, since it is larger than the sum of its proper divisors (41313).

116511 is an equidigital number, since it uses as much as digits as its factorization.

116511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 30, while the sum is 15.

The square root of 116511 is about 341.3370768024. The cubic root of 116511 is about 48.8414981152.

Subtracting from 116511 its reverse (115611), we obtain a square (900 = 30²).

It can be divided in two parts, 1165 and 11, that added together give a triangular number (1176 = T₄₈).

The spelling of 116511 in words is "one hundred sixteen thousand, five hundred eleven".