97853 has 6 divisors (see below), whose sum is σ = 113886. Its totient is φ = 83832.

The previous prime is 97849. The next prime is 97859. The reversal of 97853 is 35879.

It can be written as a sum of positive squares in only one way, i.e., 56644 + 41209 = 238^2 + 203^2 .

It is not a de Polignac number, because 97853 - 2² = 97849 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

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 97853.

It is not an unprimeable number, because it can be changed into a prime (97859) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 950 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (18981).

2⁹⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

97853 is a deficient number, since it is larger than the sum of its proper divisors (16033).

97853 is a wasteful number, since it uses less digits than its factorization.

97853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2004 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 97853 is about 312.8146416011. The cubic root of 97853 is about 46.0812992034.

The spelling of 97853 in words is "ninety-seven thousand, eight hundred fifty-three".