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1972037 is a prime number
BaseRepresentation
bin111100001011101000101
310201012010102
413201131011
51001101122
6110133445
722522244
oct7413505
93635112
101972037
111127691
127b1285
135407b2
1439495b
1528e492
hex1e1745

1972037 has 2 divisors, whose sum is σ = 1972038. Its totient is φ = 1972036.

The previous prime is 1972031. The next prime is 1972049. The reversal of 1972037 is 7302791.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1852321 + 119716 = 1361^2 + 346^2 .

It is an emirp because it is prime and its reverse (7302791) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1972037 is a prime.

It is a super-3 number, since 3×19720373 = 23007341133369163959, which contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1972031) 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, 986018 + 986019.

It is an arithmetic number, because the mean of its divisors is an integer number (986019).

21972037 is an apocalyptic number.

It is an amenable number.

1972037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1972037 is an equidigital number, since it uses as much as digits as its factorization.

1972037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 1972037 is about 1404.2923484802. The cubic root of 1972037 is about 125.4021607463.

The spelling of 1972037 in words is "one million, nine hundred seventy-two thousand, thirty-seven".