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37412981 is a prime number
BaseRepresentation
bin1000111010111…
…0000001110101
32121101202221222
42032232001311
534034203411
63413520125
7633001514
oct216560165
977352858
1037412981
111a133a21
1210643045
13799c178
144d7c67b
1534404db
hex23ae075

37412981 has 2 divisors, whose sum is σ = 37412982. Its totient is φ = 37412980.

The previous prime is 37412923. The next prime is 37412983. The reversal of 37412981 is 18921473.

37412981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36663025 + 749956 = 6055^2 + 866^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37412981 is a prime.

It is a super-2 number, since 2×374129812 = 2799462294612722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 37412983, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37412983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18706490 + 18706491.

It is an arithmetic number, because the mean of its divisors is an integer number (18706491).

Almost surely, 237412981 is an apocalyptic number.

It is an amenable number.

37412981 is a deficient number, since it is larger than the sum of its proper divisors (1).

37412981 is an equidigital number, since it uses as much as digits as its factorization.

37412981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 37412981 is about 6116.6151587295. The cubic root of 37412981 is about 334.4573705825.

The spelling of 37412981 in words is "thirty-seven million, four hundred twelve thousand, nine hundred eighty-one".