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30937 is a prime number
BaseRepresentation
bin111100011011001
31120102211
413203121
51442222
6355121
7156124
oct74331
946384
1030937
1121275
1215aa1
131110a
14b3bb
159277
hex78d9

30937 has 2 divisors, whose sum is σ = 30938. Its totient is φ = 30936.

The previous prime is 30931. The next prime is 30941. The reversal of 30937 is 73903.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 10201 = 144^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 30937 - 27 = 30809 is a prime.

It is a Chen prime.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30937.

It is not a weakly prime, because it can be changed into another prime (30931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15468 + 15469.

It is an arithmetic number, because the mean of its divisors is an integer number (15469).

230937 is an apocalyptic number.

It is an amenable number.

30937 is a deficient number, since it is larger than the sum of its proper divisors (1).

30937 is an equidigital number, since it uses as much as digits as its factorization.

30937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 30937 is about 175.8891696495. The cubic root of 30937 is about 31.3925117714.

The spelling of 30937 in words is "thirty thousand, nine hundred thirty-seven".