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33501 = 313859
BaseRepresentation
bin1000001011011101
31200221210
420023131
52033001
6415033
7166446
oct101335
950853
1033501
1123196
1217479
1312330
14c2cd
159dd6
hex82dd

33501 has 8 divisors (see below), whose sum is σ = 48160. Its totient is φ = 20592.

The previous prime is 33493. The next prime is 33503. The reversal of 33501 is 10533.

It is a happy number.

33501 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 33501 - 23 = 33493 is a prime.

It is a super-2 number, since 2×335012 = 2244634002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33503) 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, 391 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (6020).

233501 is an apocalyptic number.

It is an amenable number.

33501 is a deficient number, since it is larger than the sum of its proper divisors (14659).

33501 is a wasteful number, since it uses less digits than its factorization.

33501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 33501 is about 183.0327839487. The cubic root of 33501 is about 32.2368493946.

Subtracting from 33501 its sum of digits (12), we obtain a square (33489 = 1832).

The spelling of 33501 in words is "thirty-three thousand, five hundred one".

Divisors: 1 3 13 39 859 2577 11167 33501