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33148153 is a prime number
BaseRepresentation
bin111111001110…
…0110011111001
32022101002201101
41332130303321
531441220103
63142251401
7551516563
oct176346371
968332641
1033148153
1117790775
12b126b61
136b37bbc
14458c333
152d9ba1d
hex1f9ccf9

33148153 has 2 divisors, whose sum is σ = 33148154. Its totient is φ = 33148152.

The previous prime is 33148151. The next prime is 33148177. The reversal of 33148153 is 35184133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27751824 + 5396329 = 5268^2 + 2323^2 .

It is an emirp because it is prime and its reverse (35184133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33148153 - 21 = 33148151 is a prime.

It is a super-2 number, since 2×331481532 = 2197600094622818, which contains 22 as substring.

Together with 33148151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33148151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16574076 + 16574077.

It is an arithmetic number, because the mean of its divisors is an integer number (16574077).

Almost surely, 233148153 is an apocalyptic number.

It is an amenable number.

33148153 is a deficient number, since it is larger than the sum of its proper divisors (1).

33148153 is an equidigital number, since it uses as much as digits as its factorization.

33148153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

The square root of 33148153 is about 5757.4432693688. The cubic root of 33148153 is about 321.2327223520.

It can be divided in two parts, 331 and 48153, that added together give a palindrome (48484).

The spelling of 33148153 in words is "thirty-three million, one hundred forty-eight thousand, one hundred fifty-three".