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97113 = 332371
BaseRepresentation
bin10111101101011001
311221012210
4113231121
511101423
62025333
7553062
oct275531
9157183
1097113
1166a65
1248249
1335283
1427569
151db93
hex17b59

97113 has 4 divisors (see below), whose sum is σ = 129488. Its totient is φ = 64740.

The previous prime is 97103. The next prime is 97117. The reversal of 97113 is 31179.

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 97113 - 25 = 97081 is a prime.

It is a D-number.

It is a Duffinian number.

97113 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 97113.

It is not an unprimeable number, because it can be changed into a prime (97117) 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 3 ways as a sum of consecutive naturals, for example, 16183 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (32372).

297113 is an apocalyptic number.

It is an amenable number.

97113 is a deficient number, since it is larger than the sum of its proper divisors (32375).

97113 is a wasteful number, since it uses less digits than its factorization.

97113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32374.

The product of its digits is 189, while the sum is 21.

The square root of 97113 is about 311.6295878122. The cubic root of 97113 is about 45.9648439639.

It can be divided in two parts, 97 and 113, that added together give a triangular number (210 = T20).

The spelling of 97113 in words is "ninety-seven thousand, one hundred thirteen".

Divisors: 1 3 32371 97113