97969 has 3 divisors (see below), whose sum is σ = 98283. Its totient is φ = 97656.

The previous prime is 97967. The next prime is 97973. The reversal of 97969 is 96979.

97969 = T₃₁₂ + T₃₁₃.

The square root of 97969 is 313.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 625 + 97344 = 25^2 + 312^2 .

It is not a de Polignac number, because 97969 - 2¹ = 97967 is a prime.

It is a super-2 number, since 2×97969² = 19195849922, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 5 and base 14.

It is not an unprimeable number, because it can be changed into a prime (97961) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 157 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (32761).

2⁹⁷⁹⁶⁹ is an apocalyptic number.

97969 is the 313-rd square number.

97969 is the 157-th centered octagonal number.

It is an amenable number.

97969 is a deficient number, since it is larger than the sum of its proper divisors (314).

97969 is an frugal number, since it uses more digits than its factorization.

97969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its digits is 30618, while the sum is 40.

The cubic root of 97969 is about 46.0995010635.

Subtracting from 97969 its reverse (96979), we obtain a triangular number (990 = T₄₄).

The spelling of 97969 in words is "ninety-seven thousand, nine hundred sixty-nine".