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35157 = 311719
BaseRepresentation
bin1000100101010101
31210020010
420211111
52111112
6430433
7204333
oct104525
953203
1035157
1124461
1218419
1313005
14cb53
15a63c
hex8955

35157 has 4 divisors (see below), whose sum is σ = 46880. Its totient is φ = 23436.

The previous prime is 35153. The next prime is 35159. The reversal of 35157 is 75153.

It is a happy number.

35157 is nontrivially palindromic in base 5.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 35157 - 22 = 35153 is a prime.

It is a D-number.

It is the 188-th Hogben number.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35157.

It is not an unprimeable number, because it can be changed into a prime (35153) by changing a digit.

It is a nontrivial repunit in base 187.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5857 + ... + 5862.

It is an arithmetic number, because the mean of its divisors is an integer number (11720).

235157 is an apocalyptic number.

It is an amenable number.

35157 is a deficient number, since it is larger than the sum of its proper divisors (11723).

35157 is a wasteful number, since it uses less digits than its factorization.

35157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722.

The product of its digits is 525, while the sum is 21.

The square root of 35157 is about 187.5019999893. The cubic root of 35157 is about 32.7595003807.

The spelling of 35157 in words is "thirty-five thousand, one hundred fifty-seven".

Divisors: 1 3 11719 35157