97740 has 48 divisors (see below), whose sum is σ = 305760. Its totient is φ = 25920.

The previous prime is 97729. The next prime is 97771. The reversal of 97740 is 4779.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 97740.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 450 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2^{97740} is an apocalyptic number.

97740 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

97740 is an abundant number, since it is smaller than the sum of its proper divisors (208020).

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

97740 is a wasteful number, since it uses less digits than its factorization.

97740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 97740 is about 312.6339712827. The cubic root of 97740 is about 46.0635542441.

The spelling of 97740 in words is "ninety-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 181 270 362 540 543 724 905 1086 1629 1810 2172 2715 3258 3620 4887 5430 6516 8145 9774 10860 16290 19548 24435 32580 48870 97740

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