612117 has 24 divisors (see below), whose sum is σ = 1004640. Its totient is φ = 369360.

The previous prime is 612113. The next prime is 612133. The reversal of 612117 is 711216.

612117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 612117 - 2² = 612113 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

612117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 612117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612113) 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, 2559 + ... + 2787.

It is an arithmetic number, because the mean of its divisors is an integer number (41860).

2⁶¹²¹¹⁷ is an apocalyptic number.

It is an amenable number.

612117 is a deficient number, since it is larger than the sum of its proper divisors (392523).

612117 is a wasteful number, since it uses less digits than its factorization.

612117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 612117 is about 782.3790641371. The cubic root of 612117 is about 84.9072575549.

Subtracting 612117 from its reverse (711216), we obtain a palindrome (99099).

It can be divided in two parts, 612 and 117, that added together give a 6-th power (729 = 3⁶).

The spelling of 612117 in words is "six hundred twelve thousand, one hundred seventeen".