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97944 = 23371153
BaseRepresentation
bin10111111010011000
311222100120
4113322120
511113234
62033240
7555360
oct277230
9158316
1097944
1167650
1248820
1335772
14279a0
151e049
hex17e98

97944 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 24960.

The previous prime is 97943. The next prime is 97961. The reversal of 97944 is 44979.

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

It is an Ulam number.

97944 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

297944 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 97944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

97944 is an abundant number, since it is smaller than the sum of its proper divisors (213096).

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

97944 is a wasteful number, since it uses less digits than its factorization.

97944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 97944 is about 312.9600613497. The cubic root of 97944 is about 46.0955794639.

The spelling of 97944 in words is "ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 212 231 264 308 318 371 424 462 583 616 636 742 924 1113 1166 1272 1484 1749 1848 2226 2332 2968 3498 4081 4452 4664 6996 8162 8904 12243 13992 16324 24486 32648 48972 97944