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85377375 = 335341617
BaseRepresentation
bin1010001011011…
…00000101011111
312221122121202000
411011230011133
5133324034000
612245533343
72054460426
oct505540537
9187577660
1085377375
1144214316
1224714253
13148c3b75
14b4a62bd
157767000
hex516c15f

85377375 has 64 divisors (see below), whose sum is σ = 161965440. Its totient is φ = 44352000.

The previous prime is 85377373. The next prime is 85377377. The reversal of 85377375 is 57377358.

It is an interprime number because it is at equal distance from previous prime (85377373) and next prime (85377377).

It is not a de Polignac number, because 85377375 - 21 = 85377373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85377375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85377371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138067 + ... + 138683.

It is an arithmetic number, because the mean of its divisors is an integer number (2530710).

Almost surely, 285377375 is an apocalyptic number.

85377375 is a deficient number, since it is larger than the sum of its proper divisors (76588065).

85377375 is a wasteful number, since it uses less digits than its factorization.

85377375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 85377375 is about 9239.9878246673. The cubic root of 85377375 is about 440.3326943153.

The spelling of 85377375 in words is "eighty-five million, three hundred seventy-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 123 125 135 205 225 369 375 615 617 675 1025 1107 1125 1845 1851 3075 3085 3375 5125 5535 5553 9225 9255 15375 15425 16659 25297 27675 27765 46125 46275 75891 77125 83295 126485 138375 138825 227673 231375 379455 416475 632425 683019 694125 1138365 1897275 2082375 3162125 3415095 5691825 9486375 17075475 28459125 85377375