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83825131 = 1319339373
BaseRepresentation
bin1001111111100…
…01000111101011
312211201202110111
410333301013223
5132424401011
612152355151
72035334065
oct477610753
9184652414
1083825131
1143354075
12240a5ab7
131449c490
14b1c0735
15755c121
hex4ff11eb

83825131 has 8 divisors (see below), whose sum is σ = 95024720. Its totient is φ = 73304352.

The previous prime is 83825129. The next prime is 83825143. The reversal of 83825131 is 13152838.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83825131 - 21 = 83825129 is a prime.

It is a super-2 number, since 2×838251312 = 14053305174334322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83825093 and 83825102.

It is not an unprimeable number, because it can be changed into a prime (83825101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169440 + ... + 169933.

It is an arithmetic number, because the mean of its divisors is an integer number (11878090).

Almost surely, 283825131 is an apocalyptic number.

83825131 is a deficient number, since it is larger than the sum of its proper divisors (11199589).

83825131 is a wasteful number, since it uses less digits than its factorization.

83825131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339405.

The product of its digits is 5760, while the sum is 31.

The square root of 83825131 is about 9155.6065337038. The cubic root of 83825131 is about 437.6477972488.

Adding to 83825131 its reverse (13152838), we get a palindrome (96977969).

The spelling of 83825131 in words is "eighty-three million, eight hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 13 19 247 339373 4411849 6448087 83825131