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97961225 = 5217534349
BaseRepresentation
bin1011101011011…
…00010100001001
320211022221112112
411311230110021
5200034224400
613415352105
72266441145
oct565542411
9224287475
1097961225
115032979a
1228982635
13173ab82b
14d020225
158900835
hex5d6c509

97961225 has 24 divisors (see below), whose sum is σ = 131074200. Its totient is φ = 72350720.

The previous prime is 97961221. The next prime is 97961231. The reversal of 97961225 is 52216979.

It can be written as a sum of positive squares in 12 ways, for example, as 30327049 + 67634176 = 5507^2 + 8224^2 .

It is not a de Polignac number, because 97961225 - 22 = 97961221 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97961221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20351 + ... + 24699.

It is an arithmetic number, because the mean of its divisors is an integer number (5461425).

Almost surely, 297961225 is an apocalyptic number.

It is an amenable number.

97961225 is a deficient number, since it is larger than the sum of its proper divisors (33112975).

97961225 is a wasteful number, since it uses less digits than its factorization.

97961225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4424 counting only the distinct ones).

The product of its digits is 68040, while the sum is 41.

The square root of 97961225 is about 9897.5363096076. The cubic root of 97961225 is about 460.9828151753.

The spelling of 97961225 in words is "ninety-seven million, nine hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 53 85 265 425 901 1325 4349 4505 21745 22525 73933 108725 230497 369665 1152485 1848325 3918449 5762425 19592245 97961225