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37914113 is a prime number
BaseRepresentation
bin1001000010100…
…0011000000001
32122100020101102
42100220120001
534201222423
63432344145
7640156526
oct220503001
978306342
1037914113
111a446486
1210845055
137b162b3
14506d14d
1534ddc28
hex2428601

37914113 has 2 divisors, whose sum is σ = 37914114. Its totient is φ = 37914112.

The previous prime is 37914067. The next prime is 37914127. The reversal of 37914113 is 31141973.

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., 24127744 + 13786369 = 4912^2 + 3713^2 .

It is an emirp because it is prime and its reverse (31141973) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37914113 - 28 = 37913857 is a prime.

It is a super-3 number, since 3×379141133 (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (37914713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18957056 + 18957057.

It is an arithmetic number, because the mean of its divisors is an integer number (18957057).

Almost surely, 237914113 is an apocalyptic number.

It is an amenable number.

37914113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37914113 is an equidigital number, since it uses as much as digits as its factorization.

37914113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

The square root of 37914113 is about 6157.4437066042. The cubic root of 37914113 is about 335.9440601553.

The spelling of 37914113 in words is "thirty-seven million, nine hundred fourteen thousand, one hundred thirteen".