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3117361 = 13376481
BaseRepresentation
bin1011111001000100110001
312212101012211
423321010301
51244223421
6150452121
735332342
oct13710461
95771184
103117361
11183a135
121064041
13851bc0
145b20c9
154189e1
hex2f9131

3117361 has 8 divisors (see below), whose sum is σ = 3448424. Its totient is φ = 2799360.

The previous prime is 3117299. The next prime is 3117421. The reversal of 3117361 is 1637113.

3117361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1311025 + 1806336 = 1145^2 + 1344^2 .

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

It is a 7-Lehmer number, since φ(3117361) divides (3117361-1)7.

It is a cyclic number.

It is not a de Polignac number, because 3117361 - 29 = 3116849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3117461) 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 in 7 ways as a sum of consecutive naturals, for example, 2760 + ... + 3721.

It is an arithmetic number, because the mean of its divisors is an integer number (431053).

Almost surely, 23117361 is an apocalyptic number.

It is an amenable number.

3117361 is a deficient number, since it is larger than the sum of its proper divisors (331063).

3117361 is a wasteful number, since it uses less digits than its factorization.

3117361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531.

The product of its digits is 378, while the sum is 22.

The square root of 3117361 is about 1765.6049954619. The cubic root of 3117361 is about 146.0816613283.

The spelling of 3117361 in words is "three million, one hundred seventeen thousand, three hundred sixty-one".

Divisors: 1 13 37 481 6481 84253 239797 3117361