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3973213 is a prime number
BaseRepresentation
bin1111001010000001011101
321110212020001
433022001131
52004120323
6221054301
745525466
oct17120135
97425201
103973213
112274152
1213b7391
13a9161a
14755d6d
155373ad
hex3ca05d

3973213 has 2 divisors, whose sum is σ = 3973214. Its totient is φ = 3973212.

The previous prime is 3973183. The next prime is 3973219. The reversal of 3973213 is 3123793.

3973213 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., 2196324 + 1776889 = 1482^2 + 1333^2 .

It is a cyclic number.

It is not a de Polignac number, because 3973213 - 213 = 3965021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3973219) 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, 1986606 + 1986607.

It is an arithmetic number, because the mean of its divisors is an integer number (1986607).

Almost surely, 23973213 is an apocalyptic number.

It is an amenable number.

3973213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3973213 is an equidigital number, since it uses as much as digits as its factorization.

3973213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 3973213 is about 1993.2920006863. The cubic root of 3973213 is about 158.3849636485.

It can be divided in two parts, 3973 and 213, that added together give a triangular number (4186 = T91).

The spelling of 3973213 in words is "three million, nine hundred seventy-three thousand, two hundred thirteen".