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37540001 is a prime number
BaseRepresentation
bin1000111100110…
…1000010100001
32121122020012102
42033031002201
534102240001
63420340145
7634041032
oct217150241
977566172
1037540001
111a2103a4
12106a4655
137a14c25
144db2a89
153467e6b
hex23cd0a1

37540001 has 2 divisors, whose sum is σ = 37540002. Its totient is φ = 37540000.

The previous prime is 37539973. The next prime is 37540003. The reversal of 37540001 is 10004573.

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., 19891600 + 17648401 = 4460^2 + 4201^2 .

It is an emirp because it is prime and its reverse (10004573) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37540001 - 218 = 37277857 is a prime.

Together with 37540003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (37540003) 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, 18770000 + 18770001.

It is an arithmetic number, because the mean of its divisors is an integer number (18770001).

Almost surely, 237540001 is an apocalyptic number.

It is an amenable number.

37540001 is a deficient number, since it is larger than the sum of its proper divisors (1).

37540001 is an equidigital number, since it uses as much as digits as its factorization.

37540001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 37540001 is about 6126.9895544223. The cubic root of 37540001 is about 334.8354460267.

Adding to 37540001 its reverse (10004573), we get a palindrome (47544574).

The spelling of 37540001 in words is "thirty-seven million, five hundred forty thousand, one".