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75897 = 34937
BaseRepresentation
bin10010100001111001
310212010000
4102201321
54412042
61343213
7434163
oct224171
9125100
1075897
1152028
1237b09
1328713
141d933
151774c
hex12879

75897 has 10 divisors (see below), whose sum is σ = 113498. Its totient is φ = 50544.

The previous prime is 75883. The next prime is 75913. The reversal of 75897 is 79857.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 29241 = 216^2 + 171^2 .

It is not a de Polignac number, because 75897 - 26 = 75833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75797) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 388 + ... + 549.

275897 is an apocalyptic number.

It is an amenable number.

75897 is a deficient number, since it is larger than the sum of its proper divisors (37601).

75897 is an equidigital number, since it uses as much as digits as its factorization.

75897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 75897 is about 275.4941015703. The cubic root of 75897 is about 42.3390916727.

The spelling of 75897 in words is "seventy-five thousand, eight hundred ninety-seven".

Divisors: 1 3 9 27 81 937 2811 8433 25299 75897