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3972213 = 33721017
BaseRepresentation
bin1111001001110001110101
321110210212000
433021301311
52004102323
6221045513
745522540
oct17116165
97423760
103972213
112273423
1213b6899
13a9102b
14755857
15536e43
hex3c9c75

3972213 has 16 divisors (see below), whose sum is σ = 6725760. Its totient is φ = 2269728.

The previous prime is 3972193. The next prime is 3972223. The reversal of 3972213 is 3122793.

It is not a de Polignac number, because 3972213 - 25 = 3972181 is a prime.

It is a super-2 number, since 2×39722132 = 31556952234738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972223) 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 in 15 ways as a sum of consecutive naturals, for example, 10320 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (420360).

Almost surely, 23972213 is an apocalyptic number.

It is an amenable number.

3972213 is a deficient number, since it is larger than the sum of its proper divisors (2753547).

3972213 is a wasteful number, since it uses less digits than its factorization.

3972213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21027 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 3972213 is about 1993.0411435793. The cubic root of 3972213 is about 158.3716748020.

The spelling of 3972213 in words is "three million, nine hundred seventy-two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 21017 63051 147119 189153 441357 567459 1324071 3972213