Search a number
-
+
33342973 is a prime number
BaseRepresentation
bin111111100110…
…0010111111101
32022201222221221
41333030113331
532013433343
63150353341
7553260556
oct177142775
968658857
1033342973
1117904084
12b1bb851
136ba5791
1445dd32d
152dd95ed
hex1fcc5fd

33342973 has 2 divisors, whose sum is σ = 33342974. Its totient is φ = 33342972.

The previous prime is 33342971. The next prime is 33342979. The reversal of 33342973 is 37924333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28334329 + 5008644 = 5323^2 + 2238^2 .

It is a cyclic number.

It is not a de Polignac number, because 33342973 - 21 = 33342971 is a prime.

It is a super-2 number, since 2×333429732 = 2223507696957458, which contains 22 as substring.

Together with 33342971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33342971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16671486 + 16671487.

It is an arithmetic number, because the mean of its divisors is an integer number (16671487).

Almost surely, 233342973 is an apocalyptic number.

It is an amenable number.

33342973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33342973 is an equidigital number, since it uses as much as digits as its factorization.

33342973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 40824, while the sum is 34.

The square root of 33342973 is about 5774.3374511713. The cubic root of 33342973 is about 321.8608151979.

The spelling of 33342973 in words is "thirty-three million, three hundred forty-two thousand, nine hundred seventy-three".