93561 has 8 divisors (see below), whose sum is σ = 134400. Its totient is φ = 57552.

The previous prime is 93559. The next prime is 93563. The reversal of 93561 is 16539.

It is an interprime number because it is at equal distance from previous prime (93559) and next prime (93563).

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

It is not a de Polignac number, because 93561 - 2¹ = 93559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1161 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2⁹³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

93561 is a deficient number, since it is larger than the sum of its proper divisors (40839).

93561 is a wasteful number, since it uses less digits than its factorization.

93561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415.

The product of its digits is 810, while the sum is 24.

The square root of 93561 is about 305.8774264309. The cubic root of 93561 is about 45.3974666573.

It can be divided in two parts, 9 and 3561, that added together give a triangular number (3570 = T₈₄).

The spelling of 93561 in words is "ninety-three thousand, five hundred sixty-one".