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4000037 is a prime number
BaseRepresentation
bin1111010000100100100101
321112020000112
433100210211
52011000122
6221422405
745666626
oct17204445
97466015
104000037
112292318
12140aa05
13aa08b2
14761a4d
155402e2
hex3d0925

4000037 has 2 divisors, whose sum is σ = 4000038. Its totient is φ = 4000036.

The previous prime is 3999971. The next prime is 4000039. The reversal of 4000037 is 7300004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3076516 + 923521 = 1754^2 + 961^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000037 - 28 = 3999781 is a prime.

Together with 4000039, it forms a pair of twin primes.

It is a Chen prime.

4000037 is a modest number, since divided by 37 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3999985 and 4000030.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000018 + 2000019.

It is an arithmetic number, because the mean of its divisors is an integer number (2000019).

Almost surely, 24000037 is an apocalyptic number.

It is an amenable number.

4000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000037 is an equidigital number, since it uses as much as digits as its factorization.

4000037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 4000037 is about 2000.0092499786. The cubic root of 4000037 is about 158.7405946440.

The spelling of 4000037 in words is "four million, thirty-seven", and thus it is an aban number.