Search a number
-
+
3628033 is a prime number
BaseRepresentation
bin1101110101110000000001
320211022201121
431311300001
51412044113
6205432241
742560233
oct15656001
96738647
103628033
112058882
12126b681
139a0486
146a6253
154b9e8d
hex375c01

3628033 has 2 divisors, whose sum is σ = 3628034. Its totient is φ = 3628032.

The previous prime is 3628007. The next prime is 3628057. The reversal of 3628033 is 3308263.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3323329 + 304704 = 1823^2 + 552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3628033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3627989 and 3628007.

It is not a weakly prime, because it can be changed into another prime (3628063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1814016 + 1814017.

It is an arithmetic number, because the mean of its divisors is an integer number (1814017).

Almost surely, 23628033 is an apocalyptic number.

It is an amenable number.

3628033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3628033 is an equidigital number, since it uses as much as digits as its factorization.

3628033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3628033 is about 1904.7396147505. The cubic root of 3628033 is about 153.6586722695.

The spelling of 3628033 in words is "three million, six hundred twenty-eight thousand, thirty-three".