89677 has 8 divisors (see below), whose sum is σ = 107136. Its totient is φ = 73392.

The previous prime is 89671. The next prime is 89681. The reversal of 89677 is 77698.

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

It is a cyclic number.

It is not a de Polignac number, because 89677 - 2^{3} = 89669 is a prime.

It is a pancake number, because a pancake can be divided into 89677 parts by 423 straight cuts.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89671) 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, 118 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2^{89677} is an apocalyptic number.

It is an amenable number.

89677 is a deficient number, since it is larger than the sum of its proper divisors (17459).

89677 is a wasteful number, since it uses less digits than its factorization.

89677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587.

The product of its digits is 21168, while the sum is 37.

The square root of 89677 is about 299.4611827934. The cubic root of 89677 is about 44.7603723239.

The spelling of 89677 in words is "eighty-nine thousand, six hundred seventy-seven".

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