76947 has 8 divisors (see below), whose sum is σ = 110544. Its totient is φ = 47328.

The previous prime is 76943. The next prime is 76949. The reversal of 76947 is 74967.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 76947 - 2² = 76943 is a prime.

It is an alternating number because its digits alternate between odd and even.

76947 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76947.

It is not an unprimeable number, because it can be changed into a prime (76943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (13818).

2⁷⁶⁹⁴⁷ is an apocalyptic number.

76947 is a deficient number, since it is larger than the sum of its proper divisors (33597).

76947 is a wasteful number, since it uses less digits than its factorization.

76947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989.

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

The square root of 76947 is about 277.3932227002. The cubic root of 76947 is about 42.5334454148.

The spelling of 76947 in words is "seventy-six thousand, nine hundred forty-seven".