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20737033 is a prime number
BaseRepresentation
bin100111100011…
…0110000001001
31110000112212021
41033012300021
520302041113
62020244441
7341155552
oct117066011
943015767
1020737033
1110784049
126b40721
1343b0a45
142a7b329
151c4948d
hex13c6c09

20737033 has 2 divisors, whose sum is σ = 20737034. Its totient is φ = 20737032.

The previous prime is 20736977. The next prime is 20737039. The reversal of 20737033 is 33073702.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18386944 + 2350089 = 4288^2 + 1533^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20737033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20736989 and 20737007.

It is not a weakly prime, because it can be changed into another prime (20737039) 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, 10368516 + 10368517.

It is an arithmetic number, because the mean of its divisors is an integer number (10368517).

Almost surely, 220737033 is an apocalyptic number.

It is an amenable number.

20737033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20737033 is an equidigital number, since it uses as much as digits as its factorization.

20737033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 25.

The square root of 20737033 is about 4553.7932539807. The cubic root of 20737033 is about 274.7359802119.

The spelling of 20737033 in words is "twenty million, seven hundred thirty-seven thousand, thirty-three".