Search a number
-
+
37913081 is a prime number
BaseRepresentation
bin1001000010100…
…0000111111001
32122100011222012
42100220013321
534201204311
63432335305
7640153523
oct220500771
978304865
1037913081
111a445728
1210844535
137b1599b
14506ca13
1534dd78b
hex24281f9

37913081 has 2 divisors, whose sum is σ = 37913082. Its totient is φ = 37913080.

The previous prime is 37913059. The next prime is 37913137. The reversal of 37913081 is 18031973.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21307456 + 16605625 = 4616^2 + 4075^2 .

It is a cyclic number.

It is not a de Polignac number, because 37913081 - 26 = 37913017 is a prime.

It is a super-2 number, since 2×379130812 = 2874803421825122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37913581) 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, 18956540 + 18956541.

It is an arithmetic number, because the mean of its divisors is an integer number (18956541).

Almost surely, 237913081 is an apocalyptic number.

It is an amenable number.

37913081 is a deficient number, since it is larger than the sum of its proper divisors (1).

37913081 is an equidigital number, since it uses as much as digits as its factorization.

37913081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 37913081 is about 6157.3599050242. The cubic root of 37913081 is about 335.9410120606.

The spelling of 37913081 in words is "thirty-seven million, nine hundred thirteen thousand, eighty-one".