97953 has 8 divisors (see below), whose sum is σ = 132288. Its totient is φ = 64464.

The previous prime is 97943. The next prime is 97961. The reversal of 97953 is 35979.

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

It is not a de Polignac number, because 97953 - 2⁹ = 97441 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (16536).

2⁹⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

97953 is a deficient number, since it is larger than the sum of its proper divisors (34335).

97953 is a wasteful number, since it uses less digits than its factorization.

97953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 8505, while the sum is 33.

The square root of 97953 is about 312.9744398509. The cubic root of 97953 is about 46.0969913166.

The spelling of 97953 in words is "ninety-seven thousand, nine hundred fifty-three".