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825850337 = 1397654917
BaseRepresentation
bin110001001110010…
…111100111100001
32010112222112200112
4301032113213201
53142404202322
6213540501105
726315416634
oct6116274741
92115875615
10825850337
11394197644
121b06aa795
13102134150
147b977c1b
154c7815e2
hex313979e1

825850337 has 8 divisors (see below), whose sum is σ = 898547496. Its totient is φ = 754463232.

The previous prime is 825850321. The next prime is 825850339. The reversal of 825850337 is 733058528.

It can be written as a sum of positive squares in 4 ways, for example, as 6974881 + 818875456 = 2641^2 + 28616^2 .

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 825850337 - 24 = 825850321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825850294 and 825850303.

It is not an unprimeable number, because it can be changed into a prime (825850339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326198 + ... + 328719.

It is an arithmetic number, because the mean of its divisors is an integer number (112318437).

Almost surely, 2825850337 is an apocalyptic number.

It is an amenable number.

825850337 is a deficient number, since it is larger than the sum of its proper divisors (72697159).

825850337 is a wasteful number, since it uses less digits than its factorization.

825850337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655027.

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 825850337 is about 28737.6118875595. The cubic root of 825850337 is about 938.2108479416.

The spelling of 825850337 in words is "eight hundred twenty-five million, eight hundred fifty thousand, three hundred thirty-seven".

Divisors: 1 13 97 1261 654917 8513921 63526949 825850337