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35113 = 133773
BaseRepresentation
bin1000100100101001
31210011111
420210221
52110423
6430321
7204241
oct104451
953144
1035113
1124421
12183a1
1312ca0
14cb21
15a60d
hex8929

35113 has 8 divisors (see below), whose sum is σ = 39368. Its totient is φ = 31104.

The previous prime is 35111. The next prime is 35117. The reversal of 35113 is 31153.

35113 divided by its sum of digits (13) gives a triangular number (2701 = T73).

Adding to 35113 its reverse (31153), we get a palindrome (66266).

35113 = 1322 + 1332.

It is the 77-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 6889 + 28224 = 83^2 + 168^2 .

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

It is a 5-Lehmer number, since φ(35113) divides (35113-1)5.

It is a cyclic number.

It is not a de Polignac number, because 35113 - 21 = 35111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a deceptive number, since it divides R35112.

35113 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 35093 and 35102.

It is not an unprimeable number, because it can be changed into a prime (35111) 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, 445 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (4921).

235113 is an apocalyptic number.

35113 is the 133-rd centered square number.

It is an amenable number.

35113 is a deficient number, since it is larger than the sum of its proper divisors (4255).

35113 is a wasteful number, since it uses less digits than its factorization.

35113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123.

The product of its digits is 45, while the sum is 13.

The square root of 35113 is about 187.3846311734. The cubic root of 35113 is about 32.7458281888.

The spelling of 35113 in words is "thirty-five thousand, one hundred thirteen".

Divisors: 1 13 37 73 481 949 2701 35113