96577 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 76032.

The previous prime is 96557. The next prime is 96581. The reversal of 96577 is 77569.

It is a cyclic number.

It is not a de Polignac number, because 96577 - 2¹¹ = 94529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96517) 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, 4188 + ... + 4210.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁹⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

96577 is a deficient number, since it is larger than the sum of its proper divisors (24383).

96577 is a wasteful number, since it uses less digits than its factorization.

96577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its digits is 13230, while the sum is 34.

The square root of 96577 is about 310.7684025122. The cubic root of 96577 is about 45.8801226501.

It can be divided in two parts, 965 and 77, that multiplied together give a triangular number (74305 = T₃₈₅).

The spelling of 96577 in words is "ninety-six thousand, five hundred seventy-seven".