67117113 has 48 divisors (see below), whose sum is σ = 117082560. Its totient is φ = 37884672.

The previous prime is 67117097. The next prime is 67117117. The reversal of 67117113 is 31171176.

It is not a de Polignac number, because 67117113 - 2⁴ = 67117097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (67117117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128070 + ... + 128592.

It is an arithmetic number, because the mean of its divisors is an integer number (2439220).

Almost surely, 2^67117113 is an apocalyptic number.

67117113 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67117113 is a deficient number, since it is larger than the sum of its proper divisors (49965447).

67117113 is a wasteful number, since it uses less digits than its factorization.

67117113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 67117113 is about 8192.5034635330. The cubic root of 67117113 is about 406.3913191029.

Adding to 67117113 its reverse (31171176), we get a palindrome (98288289).

It can be divided in two parts, 6711 and 7113, that added together give a cube (13824 = 24³).

The spelling of 67117113 in words is "sixty-seven million, one hundred seventeen thousand, one hundred thirteen".