97121 has 8 divisors (see below), whose sum is σ = 106920. Its totient is φ = 87808.

The previous prime is 97117. The next prime is 97127. The reversal of 97121 is 12179.

It can be written as a sum of positive squares in 4 ways, for example, as 57121 + 40000 = 239^2 + 200^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 97121 - 2² = 97117 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97093 and 97102.

It is not an unprimeable number, because it can be changed into a prime (97127) 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, 395 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2⁹⁷¹²¹ is an apocalyptic number.

It is an amenable number.

97121 is a deficient number, since it is larger than the sum of its proper divisors (9799).

97121 is a wasteful number, since it uses less digits than its factorization.

97121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its digits is 126, while the sum is 20.

The square root of 97121 is about 311.6424232995. The cubic root of 97121 is about 45.9661060972.

The spelling of 97121 in words is "ninety-seven thousand, one hundred twenty-one".