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92053 = 137397
BaseRepresentation
bin10110011110010101
311200021101
4112132111
510421203
61550101
7532243
oct263625
9150241
1092053
1163185
1245331
1332b90
1425793
151c41d
hex16795

92053 has 8 divisors (see below), whose sum is σ = 101528. Its totient is φ = 82944.

The previous prime is 92051. The next prime is 92077. The reversal of 92053 is 35029.

It can be written as a sum of positive squares in 4 ways, for example, as 3844 + 88209 = 62^2 + 297^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(92053) divides (92053-1)5.

It is a cyclic number.

It is not a de Polignac number, because 92053 - 21 = 92051 is a prime.

It is a Duffinian number.

92053 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 92053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 997.

It is an arithmetic number, because the mean of its divisors is an integer number (12691).

292053 is an apocalyptic number.

It is an amenable number.

92053 is a deficient number, since it is larger than the sum of its proper divisors (9475).

92053 is a wasteful number, since it uses less digits than its factorization.

92053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 92053 is about 303.4023730955. The cubic root of 92053 is about 45.1522415654.

The spelling of 92053 in words is "ninety-two thousand, fifty-three".

Divisors: 1 13 73 97 949 1261 7081 92053