Search a number
-
+
97085295 = 3252157451
BaseRepresentation
bin1011100100101…
…10011101101111
320202200102222200
411302112131233
5144323212140
613344512543
72256132336
oct562263557
9222612880
1097085295
114a89068a
122861b753
1317162c28
14cc72d1d
1587cb030
hex5c9676f

97085295 has 12 divisors (see below), whose sum is σ = 168281256. Its totient is φ = 51778800.

The previous prime is 97085291. The next prime is 97085327. The reversal of 97085295 is 59258079.

It is a happy number.

It is not a de Polignac number, because 97085295 - 22 = 97085291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2157451 = 97085295 / (9 + 7 + 0 + 8 + 5 + 2 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 97085295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97085291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078681 + ... + 1078770.

It is an arithmetic number, because the mean of its divisors is an integer number (14023438).

Almost surely, 297085295 is an apocalyptic number.

97085295 is a deficient number, since it is larger than the sum of its proper divisors (71195961).

97085295 is a wasteful number, since it uses less digits than its factorization.

97085295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157462 (or 2157459 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 97085295 is about 9853.1870478541. The cubic root of 97085295 is about 459.6047250274.

The spelling of 97085295 in words is "ninety-seven million, eighty-five thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 2157451 6472353 10787255 19417059 32361765 97085295