Search a number
-
+
83717137 = 721708513
BaseRepresentation
bin1001111110101…
…10110000010001
312211112021022201
410333112300101
5132412422022
612150203201
72034404200
oct477266021
9184467281
1083717137
114328aa19
1224053501
131446228a
14b193237
15753a127
hex4fd6c11

83717137 has 6 divisors (see below), whose sum is σ = 97385298. Its totient is φ = 71757504.

The previous prime is 83717131. The next prime is 83717141. The reversal of 83717137 is 73171738.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 23126481 = 7784^2 + 4809^2 .

It is a de Polignac number, because none of the positive numbers 2k-83717137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83717096 and 83717105.

It is not an unprimeable number, because it can be changed into a prime (83717131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 854208 + ... + 854305.

It is an arithmetic number, because the mean of its divisors is an integer number (16230883).

Almost surely, 283717137 is an apocalyptic number.

It is an amenable number.

83717137 is a deficient number, since it is larger than the sum of its proper divisors (13668161).

83717137 is a wasteful number, since it uses less digits than its factorization.

83717137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708527 (or 1708520 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The square root of 83717137 is about 9149.7069351974. The cubic root of 83717137 is about 437.4597723012.

The spelling of 83717137 in words is "eighty-three million, seven hundred seventeen thousand, one hundred thirty-seven".

Divisors: 1 7 49 1708513 11959591 83717137