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2083754137 is a prime number
BaseRepresentation
bin111110000110011…
…1001000010011001
312101012221200022011
41330030321002121
513231420113022
6542434025521
7102431421643
oct17414710231
95335850264
102083754137
1197a252363
124a1a182a1
1327292041a
1415aa5b893
15c2e08977
hex7c339099

2083754137 has 2 divisors, whose sum is σ = 2083754138. Its totient is φ = 2083754136.

The previous prime is 2083754131. The next prime is 2083754173. The reversal of 2083754137 is 7314573802.

It is a happy number.

Together with next prime (2083754173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1787260176 + 296493961 = 42276^2 + 17219^2 .

It is a cyclic number.

It is not a de Polignac number, because 2083754137 - 223 = 2075365529 is a prime.

It is a super-2 number, since 2×20837541372 = 8684062606929229538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2083754137.

It is not a weakly prime, because it can be changed into another prime (2083754131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1041877068 + 1041877069.

It is an arithmetic number, because the mean of its divisors is an integer number (1041877069).

Almost surely, 22083754137 is an apocalyptic number.

It is an amenable number.

2083754137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2083754137 is an equidigital number, since it uses as much as digits as its factorization.

2083754137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 2083754137 is about 45648.1558992255. The cubic root of 2083754137 is about 1277.2683724186.

The spelling of 2083754137 in words is "two billion, eighty-three million, seven hundred fifty-four thousand, one hundred thirty-seven".