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31039 is a prime number
BaseRepresentation
bin111100100111111
31120120121
413210333
51443124
6355411
7156331
oct74477
946517
1031039
1121358
1215b67
1311188
14b451
1592e4
hex793f

31039 has 2 divisors, whose sum is σ = 31040. Its totient is φ = 31038.

The previous prime is 31033. The next prime is 31051. The reversal of 31039 is 93013.

It can be divided in two parts, 310 and 39, that multiplied together give a triangular number (12090 = T155).

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 31039 - 27 = 30911 is a prime.

31039 is a lucky number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31033) 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, 15519 + 15520.

It is an arithmetic number, because the mean of its divisors is an integer number (15520).

231039 is an apocalyptic number.

31039 is a deficient number, since it is larger than the sum of its proper divisors (1).

31039 is an equidigital number, since it uses as much as digits as its factorization.

31039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 31039 is about 176.1788863627. The cubic root of 31039 is about 31.4269745352.

The spelling of 31039 in words is "thirty-one thousand, thirty-nine".