Search a number
-
+
97967097 = 33193232
BaseRepresentation
bin1011101011011…
…01101111111001
320211100020121000
411311231233321
5200034421342
613415435213
72266464234
oct565555771
9224306530
1097967097
1150333148
1228985b09
13173b13c7
14d02241b
15890244c
hex5d6dbf9

97967097 has 48 divisors (see below), whose sum is σ = 160148800. Its totient is φ = 59183784.

The previous prime is 97967069. The next prime is 97967101. The reversal of 97967097 is 79076979.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 97967097 - 26 = 97967033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97967047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4259428 + ... + 4259450.

Almost surely, 297967097 is an apocalyptic number.

It is an amenable number.

97967097 is a deficient number, since it is larger than the sum of its proper divisors (62181703).

97967097 is an equidigital number, since it uses as much as digits as its factorization.

97967097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 97967097 is about 9897.8329446400. The cubic root of 97967097 is about 460.9920257481.

The spelling of 97967097 in words is "ninety-seven million, nine hundred sixty-seven thousand, ninety-seven".

Divisors: 1 3 9 19 23 27 57 69 171 207 361 437 513 529 621 1083 1311 1587 3249 3933 4761 6859 8303 9747 10051 11799 14283 20577 24909 30153 61731 74727 90459 157757 185193 190969 224181 271377 473271 572907 1419813 1718721 3628411 4259439 5156163 10885233 32655699 97967097