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97000 = 235397
BaseRepresentation
bin10111101011101000
311221001121
4113223220
511101000
62025024
7552541
oct275350
9157047
1097000
1166972
1248174
13351c7
14274c8
151db1a
hex17ae8

97000 has 32 divisors (see below), whose sum is σ = 229320. Its totient is φ = 38400.

The previous prime is 96997. The next prime is 97001. The reversal of 97000 is 79.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 70756 = 162^2 + 266^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97001) 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, 952 + ... + 1048.

297000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660).

97000 is an abundant number, since it is smaller than the sum of its proper divisors (132320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97000 is a wasteful number, since it uses less digits than its factorization.

97000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 97000 is about 311.4482300479. The cubic root of 97000 is about 45.9470089221.

Adding to 97000 its reverse (79), we get a palindrome (97079).

The spelling of 97000 in words is "ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9700 12125 19400 24250 48500 97000