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93381 = 3171831
BaseRepresentation
bin10110110011000101
311202002120
4112303011
510442011
62000153
7536151
oct266305
9152076
1093381
1164182
1246059
1333672
1426061
151ca06
hex16cc5

93381 has 8 divisors (see below), whose sum is σ = 131904. Its totient is φ = 58560.

The previous prime is 93377. The next prime is 93383. The reversal of 93381 is 18339.

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

It is not a de Polignac number, because 93381 - 22 = 93377 is a prime.

It is a super-2 number, since 2×933812 = 17440022322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

93381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93383) 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, 865 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (16488).

293381 is an apocalyptic number.

It is an amenable number.

93381 is a deficient number, since it is larger than the sum of its proper divisors (38523).

93381 is a wasteful number, since it uses less digits than its factorization.

93381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851.

The product of its digits is 648, while the sum is 24.

The square root of 93381 is about 305.5830492681. The cubic root of 93381 is about 45.3683348967.

It can be divided in two parts, 9338 and 1, that added together give a palindrome (9339).

The spelling of 93381 in words is "ninety-three thousand, three hundred eighty-one".

Divisors: 1 3 17 51 1831 5493 31127 93381