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42085 = 519443
BaseRepresentation
bin1010010001100101
32010201201
422101211
52321320
6522501
7233461
oct122145
963651
1042085
112968a
1220431
1316204
14114a1
15c70a
hexa465

42085 has 8 divisors (see below), whose sum is σ = 53280. Its totient is φ = 31824.

The previous prime is 42083. The next prime is 42089. The reversal of 42085 is 58024.

42085 = T166 + T167 + T168.

It is a happy number.

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 42085 - 21 = 42083 is a prime.

It is a super-2 number, since 2×420852 = 3542294450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42083) 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 7 ways as a sum of consecutive naturals, for example, 127 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

242085 is an apocalyptic number.

42085 is the 168-th centered triangular number.

It is an amenable number.

42085 is a deficient number, since it is larger than the sum of its proper divisors (11195).

42085 is a wasteful number, since it uses less digits than its factorization.

42085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 42085 is about 205.1462892670. The cubic root of 42085 is about 34.7837000337.

It can be divided in two parts, 420 and 85, that added together give a palindrome (505).

The spelling of 42085 in words is "forty-two thousand, eighty-five".

Divisors: 1 5 19 95 443 2215 8417 42085