97734 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 25632.

The previous prime is 97729. The next prime is 97771. The reversal of 97734 is 43779.

It is an Ulam number.

It is a Curzon number.

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 97734.

It is an unprimeable number.

97734 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 457 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁹⁷⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

97734 is an abundant number, since it is smaller than the sum of its proper divisors (144186).

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

97734 is a wasteful number, since it uses less digits than its factorization.

97734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 5292, while the sum is 30.

The square root of 97734 is about 312.6243752493. The cubic root of 97734 is about 46.0626116516.

The spelling of 97734 in words is "ninety-seven thousand, seven hundred thirty-four".