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97053 = 31117173
BaseRepresentation
bin10111101100011101
311221010120
4113230131
511101203
62025153
7552645
oct275435
9157116
1097053
1166a10
12481b9
1335238
1427525
151db53
hex17b1d

97053 has 16 divisors (see below), whose sum is σ = 150336. Its totient is φ = 55040.

The previous prime is 97039. The next prime is 97073. The reversal of 97053 is 35079.

It is a cyclic number.

It is not a de Polignac number, because 97053 - 25 = 97021 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

97053 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (9396).

297053 is an apocalyptic number.

It is an amenable number.

97053 is a deficient number, since it is larger than the sum of its proper divisors (53283).

97053 is a wasteful number, since it uses less digits than its factorization.

97053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 97053 is about 311.5333048006. The cubic root of 97053 is about 45.9553757540.

The spelling of 97053 in words is "ninety-seven thousand, fifty-three".

Divisors: 1 3 11 17 33 51 173 187 519 561 1903 2941 5709 8823 32351 97053