Search a number
3728537 is a prime number
BaseRepresentation
bin1110001110010010011001
321000102120222
432032102121
51423303122
6211525425
743456241
oct16162231
97012528
103728537
11211733a
1212b9875
13a07147
146d0b21
154d9b42
hex38e499

3728537 has 2 divisors, whose sum is σ = 3728538. Its totient is φ = 3728536.

The previous prime is 3728533. The next prime is 3728561. The reversal of 3728537 is 7358273.

3728537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 1466521 = 1504^2 + 1211^2 .

It is a cyclic number.

It is not a de Polignac number, because 3728537 - 22 = 3728533 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3728497 and 3728506.

It is not a weakly prime, because it can be changed into another prime (3728533) 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, 1864268 + 1864269.

It is an arithmetic number, because the mean of its divisors is an integer number (1864269).

Almost surely, 23728537 is an apocalyptic number.

It is an amenable number.

3728537 is a deficient number, since it is larger than the sum of its proper divisors (1).

3728537 is an equidigital number, since it uses as much as digits as its factorization.

3728537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 35.

The square root of 3728537 is about 1930.9419980932. The cubic root of 3728537 is about 155.0646556485.

The spelling of 3728537 in words is "three million, seven hundred twenty-eight thousand, five hundred thirty-seven".