116029 has 4 divisors (see below), whose sum is σ = 120060. Its totient is φ = 112000.

The previous prime is 116027. The next prime is 116041. The reversal of 116029 is 920611.

116029 = T₃₂ + T₃₃ + ... + T₈₉.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 920611 = 113 ⋅8147.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 88804 = 165^2 + 298^2 .

It is a cyclic number.

It is not a de Polignac number, because 116029 - 2¹ = 116027 is a prime.

116029 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 115997 and 116015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1972 + ... + 2029.

It is an arithmetic number, because the mean of its divisors is an integer number (30015).

2¹¹⁶⁰²⁹ is an apocalyptic number.

It is an amenable number.

116029 is a deficient number, since it is larger than the sum of its proper divisors (4031).

116029 is an equidigital number, since it uses as much as digits as its factorization.

116029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 116029 is about 340.6302981239. The cubic root of 116029 is about 48.7740534379.

Subtracting from 116029 its product of nonzero digits (108), we obtain a triangular number (115921 = T₄₈₁).

It can be divided in two parts, 11602 and 9, that added together give a palindrome (11611).

The spelling of 116029 in words is "one hundred sixteen thousand, twenty-nine".