116415 has 24 divisors (see below), whose sum is σ = 218400. Its totient is φ = 57024.

The previous prime is 116411. The next prime is 116423. The reversal of 116415 is 514611.

It is not a de Polignac number, because 116415 - 2² = 116411 is a prime.

116415 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116415.

It is not an unprimeable number, because it can be changed into a prime (116411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2¹¹⁶⁴¹⁵ is an apocalyptic number.

116415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116415 is a deficient number, since it is larger than the sum of its proper divisors (101985).

116415 is a wasteful number, since it uses less digits than its factorization.

116415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 116415 is about 341.1964243658. The cubic root of 116415 is about 48.8280800053.

The spelling of 116415 in words is "one hundred sixteen thousand, four hundred fifteen".