Search a number
-
+
37621021 is a prime number
BaseRepresentation
bin1000111110000…
…0110100011101
32121210100100011
42033200310131
534112333041
63422203221
7634526164
oct217406435
977710304
1037621021
111a266259
1210723511
137a42a79
144dd43db
153481e81
hex23e0d1d

37621021 has 2 divisors, whose sum is σ = 37621022. Its totient is φ = 37621020.

The previous prime is 37621013. The next prime is 37621027. The reversal of 37621021 is 12012673.

37621021 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., 35105625 + 2515396 = 5925^2 + 1586^2 .

It is a cyclic number.

It is not a de Polignac number, because 37621021 - 23 = 37621013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37620983 and 37621001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37621027) 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, 18810510 + 18810511.

It is an arithmetic number, because the mean of its divisors is an integer number (18810511).

Almost surely, 237621021 is an apocalyptic number.

It is an amenable number.

37621021 is a deficient number, since it is larger than the sum of its proper divisors (1).

37621021 is an equidigital number, since it uses as much as digits as its factorization.

37621021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 37621021 is about 6133.5977207508. The cubic root of 37621021 is about 335.0761570377.

Adding to 37621021 its reverse (12012673), we get a palindrome (49633694).

The spelling of 37621021 in words is "thirty-seven million, six hundred twenty-one thousand, twenty-one".