Search a number
-
+
33997373 is a prime number
BaseRepresentation
bin1000000110110…
…0001000111101
32100222020121222
42001230020331
532200403443
63212403125
7561654464
oct201541075
970866558
1033997373
1118210803
12b4764a5
1370745b7
14472d9db
152eb8468
hex206c23d

33997373 has 2 divisors, whose sum is σ = 33997374. Its totient is φ = 33997372.

The previous prime is 33997363. The next prime is 33997387. The reversal of 33997373 is 37379933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32467204 + 1530169 = 5698^2 + 1237^2 .

It is a cyclic number.

It is not a de Polignac number, because 33997373 - 212 = 33993277 is a prime.

It is a super-2 number, since 2×339973732 = 2311642741802258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33997303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16998686 + 16998687.

It is an arithmetic number, because the mean of its divisors is an integer number (16998687).

Almost surely, 233997373 is an apocalyptic number.

It is an amenable number.

33997373 is a deficient number, since it is larger than the sum of its proper divisors (1).

33997373 is an equidigital number, since it uses as much as digits as its factorization.

33997373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 321489, while the sum is 44.

The square root of 33997373 is about 5830.7266271023. The cubic root of 33997373 is about 323.9528363244.

The spelling of 33997373 in words is "thirty-three million, nine hundred ninety-seven thousand, three hundred seventy-three".