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997161 = 31124167
BaseRepresentation
bin11110011011100101001
31212122211220
43303130221
5223402121
633212253
711322114
oct3633451
91778756
10997161
11621200
12401089
1328bb49
141bd57b
1514a6c6
hexf3729

997161 has 24 divisors (see below), whose sum is σ = 1519392. Its totient is φ = 580800.

The previous prime is 997153. The next prime is 997163. The reversal of 997161 is 161799.

It is not a de Polignac number, because 997161 - 23 = 997153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 997161.

It is not an unprimeable number, because it can be changed into a prime (997163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14850 + ... + 14916.

It is an arithmetic number, because the mean of its divisors is an integer number (63308).

2997161 is an apocalyptic number.

It is an amenable number.

997161 is a deficient number, since it is larger than the sum of its proper divisors (522231).

997161 is a wasteful number, since it uses less digits than its factorization.

997161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 997161 is about 998.5794910772. The cubic root of 997161 is about 99.9052769705.

It can be divided in two parts, 99 and 7161, that added together give a triangular number (7260 = T120).

The spelling of 997161 in words is "nine hundred ninety-seven thousand, one hundred sixty-one".

Divisors: 1 3 11 33 41 67 121 123 201 363 451 737 1353 2211 2747 4961 8107 8241 14883 24321 30217 90651 332387 997161