67947 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 39200.

The previous prime is 67943. The next prime is 67957. The reversal of 67947 is 74976.

It is a cyclic number.

It is not a de Polignac number, because 67947 - 2² = 67943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 6⁵ + 7² + 9⁵ + 4⁵ + 7² .

67947 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁶⁷⁹⁴⁷ is an apocalyptic number.

67947 is the 213-rd pentagonal number.

67947 is a deficient number, since it is larger than the sum of its proper divisors (35733).

67947 is a wasteful number, since it uses less digits than its factorization.

67947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 10584, while the sum is 33.

The square root of 67947 is about 260.6664535378. Note that the first 3 decimals coincide. The cubic root of 67947 is about 40.8059439629.

It can be divided in two parts, 679 and 47, that multiplied together give a palindrome (31913).

The spelling of 67947 in words is "sixty-seven thousand, nine hundred forty-seven".