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40005997 is a prime number
BaseRepresentation
bin1001100010011…
…1000101101101
32210021111220121
42120213011231
540220142442
63545244541
7664021363
oct230470555
983244817
1040005997
1120645109
1211493751
1383994b5
145455633
1537a3967
hex262716d

40005997 has 2 divisors, whose sum is σ = 40005998. Its totient is φ = 40005996.

The previous prime is 40005989. The next prime is 40006013. The reversal of 40005997 is 79950004.

40005997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35117476 + 4888521 = 5926^2 + 2211^2 .

It is a cyclic number.

It is not a de Polignac number, because 40005997 - 23 = 40005989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40005907) 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 as a sum of consecutive naturals, namely, 20002998 + 20002999.

It is an arithmetic number, because the mean of its divisors is an integer number (20002999).

Almost surely, 240005997 is an apocalyptic number.

It is an amenable number.

40005997 is a deficient number, since it is larger than the sum of its proper divisors (1).

40005997 is an equidigital number, since it uses as much as digits as its factorization.

40005997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 40005997 is about 6325.0294070463. The cubic root of 40005997 is about 342.0122796909.

The spelling of 40005997 in words is "forty million, five thousand, nine hundred ninety-seven".