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97971 = 3172113
BaseRepresentation
bin10111111010110011
311222101120
4113322303
511113341
62033323
7555426
oct277263
9158346
1097971
1167675
1248843
1335793
14279bd
151e066
hex17eb3

97971 has 12 divisors (see below), whose sum is σ = 139992. Its totient is φ = 60928.

The previous prime is 97967. The next prime is 97973. The reversal of 97971 is 17979.

It is not a de Polignac number, because 97971 - 22 = 97967 is a prime.

97971 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (97973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (11666).

297971 is an apocalyptic number.

97971 is a deficient number, since it is larger than the sum of its proper divisors (42021).

97971 is a wasteful number, since it uses less digits than its factorization.

97971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its digits is 3969, while the sum is 33.

The square root of 97971 is about 313.0031948719. The cubic root of 97971 is about 46.0998147627.

The spelling of 97971 in words is "ninety-seven thousand, nine hundred seventy-one".

Divisors: 1 3 17 51 113 289 339 867 1921 5763 32657 97971