76617 has 6 divisors (see below), whose sum is σ = 110682. Its totient is φ = 51072.

The previous prime is 76607. The next prime is 76631. The reversal of 76617 is 71667.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 441 = 276^2 + 21^2 .

It is a de Polignac number, because none of the positive numbers 2^k-76617 is a prime.

76617 is a lucky number.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76617.

It is not an unprimeable number, because it can be changed into a prime (76607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4248 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (18447).

2⁷⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

76617 is a deficient number, since it is larger than the sum of its proper divisors (34065).

76617 is a wasteful number, since it uses less digits than its factorization.

76617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8516 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 76617 is about 276.7977601065. The cubic root of 76617 is about 42.4725543676.

Subtracting from 76617 its reverse (71667), we obtain a triangular number (4950 = T₉₉).

The spelling of 76617 in words is "seventy-six thousand, six hundred seventeen".