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58685 = 511297
BaseRepresentation
bin1110010100111101
32222111112
432110331
53334220
61131405
7333044
oct162475
988445
1058685
1140100
1229b65
1320933
141755b
15125c5
hexe53d

58685 has 12 divisors (see below), whose sum is σ = 78204. Its totient is φ = 42240.

The previous prime is 58679. The next prime is 58687.

Added to its reverse (58685) it gives a triangular number (117370 = T484).

58685 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 34969 = 154^2 + 187^2 .

It is a de Polignac number, because none of the positive numbers 2k-58685 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

258685 is an apocalyptic number.

58685 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58685 is a deficient number, since it is larger than the sum of its proper divisors (19519).

58685 is a wasteful number, since it uses less digits than its factorization.

58685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 58685 is about 242.2498710010. The cubic root of 58685 is about 38.8605583534.

Subtracting from 58685 its sum of digits (32), we obtain a triangular number (58653 = T342).

The spelling of 58685 in words is "fifty-eight thousand, six hundred eighty-five".

Divisors: 1 5 11 55 97 121 485 605 1067 5335 11737 58685