97735 has 8 divisors (see below), whose sum is σ = 128016. Its totient is φ = 71040.

The previous prime is 97729. The next prime is 97771. The reversal of 97735 is 53779.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 97735 - 2⁷ = 97607 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97697 and 97706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2⁹⁷⁷³⁵ is an apocalyptic number.

97735 is a deficient number, since it is larger than the sum of its proper divisors (30281).

97735 is a wasteful number, since it uses less digits than its factorization.

97735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its digits is 6615, while the sum is 31.

The square root of 97735 is about 312.6259746086. The cubic root of 97735 is about 46.0627687530.

Subtracting from 97735 its reverse (53779), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 9 and 7735, that added together give a square (7744 = 88²).

The spelling of 97735 in words is "ninety-seven thousand, seven hundred thirty-five".