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75313 = 722953
BaseRepresentation
bin10010011000110001
310211022101
4102120301
54402223
61340401
7432400
oct223061
9124271
1075313
1151647
1237701
1328384
141d637
15174ad
hex12631

75313 has 12 divisors (see below), whose sum is σ = 92340. Its totient is φ = 61152.

The previous prime is 75307. The next prime is 75323. The reversal of 75313 is 31357.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 28224 = 217^2 + 168^2 .

It is not a de Polignac number, because 75313 - 213 = 67121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1395 + ... + 1447.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

275313 is an apocalyptic number.

It is an amenable number.

75313 is a deficient number, since it is larger than the sum of its proper divisors (17027).

75313 is a wasteful number, since it uses less digits than its factorization.

75313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 315, while the sum is 19.

The square root of 75313 is about 274.4321409748. The cubic root of 75313 is about 42.2302172713.

Subtracting from 75313 its reverse (31357), we obtain a triangular number (43956 = T296).

The spelling of 75313 in words is "seventy-five thousand, three hundred thirteen".

Divisors: 1 7 29 49 53 203 371 1421 1537 2597 10759 75313