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33801 = 319593
BaseRepresentation
bin1000010000001001
31201100220
420100021
52040201
6420253
7200355
oct102011
951326
1033801
1123439
1217689
1312501
14c465
15a036
hex8409

33801 has 8 divisors (see below), whose sum is σ = 47520. Its totient is φ = 21312.

The previous prime is 33797. The next prime is 33809. The reversal of 33801 is 10833.

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

It is not a de Polignac number, because 33801 - 22 = 33797 is a prime.

It is a super-2 number, since 2×338012 = 2285015202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33809) 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, 240 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

233801 is an apocalyptic number.

It is an amenable number.

33801 is a deficient number, since it is larger than the sum of its proper divisors (13719).

33801 is a wasteful number, since it uses less digits than its factorization.

33801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 33801 is about 183.8504827299. The cubic root of 33801 is about 32.3327901091.

The spelling of 33801 in words is "thirty-three thousand, eight hundred one".

Divisors: 1 3 19 57 593 1779 11267 33801