97872131 has 8 divisors (see below), whose sum is σ = 112962144. Its totient is φ = 83059200.

The previous prime is 97872083. The next prime is 97872149. The reversal of 97872131 is 13127879.

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

It is not a de Polignac number, because 97872131 - 2¹⁰ = 97871107 is a prime.

It is a super-2 number, since 2×97872131² = 19157908052962322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97872331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68510 + ... + 69923.

It is an arithmetic number, because the mean of its divisors is an integer number (14120268).

Almost surely, 2^97872131 is an apocalyptic number.

97872131 is a deficient number, since it is larger than the sum of its proper divisors (15090013).

97872131 is a wasteful number, since it uses less digits than its factorization.

97872131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138541.

The product of its digits is 21168, while the sum is 38.

The square root of 97872131 is about 9893.0344687563. The cubic root of 97872131 is about 460.8430208832.

The spelling of 97872131 in words is "ninety-seven million, eight hundred seventy-two thousand, one hundred thirty-one".