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33941 is a prime number
BaseRepresentation
bin1000010010010101
31201120002
420102111
52041231
6421045
7200645
oct102225
951502
1033941
1123556
1217785
13125ab
14c525
15a0cb
hex8495

33941 has 2 divisors, whose sum is σ = 33942. Its totient is φ = 33940.

The previous prime is 33937. The next prime is 33961. The reversal of 33941 is 14933.

It is an a-pointer prime, because the next prime (33961) can be obtained adding 33941 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 5041 = 170^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 33941 - 22 = 33937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16970 + 16971.

It is an arithmetic number, because the mean of its divisors is an integer number (16971).

233941 is an apocalyptic number.

It is an amenable number.

33941 is a deficient number, since it is larger than the sum of its proper divisors (1).

33941 is an equidigital number, since it uses as much as digits as its factorization.

33941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 20.

The square root of 33941 is about 184.2308334671. The cubic root of 33941 is about 32.3773682321.

The spelling of 33941 in words is "thirty-three thousand, nine hundred forty-one".