Search a number
-
+
3937397 is a prime number
BaseRepresentation
bin1111000001010001110101
321102001002112
433001101311
52001444042
6220220405
745316202
oct17012165
97361075
103937397
11224a252
12139a705
13a7b229
14746ca9
1552b982
hex3c1475

3937397 has 2 divisors, whose sum is σ = 3937398. Its totient is φ = 3937396.

The previous prime is 3937369. The next prime is 3937399. The reversal of 3937397 is 7937393.

3937397 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., 3147076 + 790321 = 1774^2 + 889^2 .

It is a cyclic number.

It is not a de Polignac number, because 3937397 - 212 = 3933301 is a prime.

Together with 3937399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3937399) 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, 1968698 + 1968699.

It is an arithmetic number, because the mean of its divisors is an integer number (1968699).

Almost surely, 23937397 is an apocalyptic number.

It is an amenable number.

3937397 is a deficient number, since it is larger than the sum of its proper divisors (1).

3937397 is an equidigital number, since it uses as much as digits as its factorization.

3937397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 107163, while the sum is 41.

The square root of 3937397 is about 1984.2875295682. The cubic root of 3937397 is about 157.9076130299.

It can be divided in two parts, 3937 and 397, that added together give a palindrome (4334).

The spelling of 3937397 in words is "three million, nine hundred thirty-seven thousand, three hundred ninety-seven".