97436641 has 3 divisors (see below), whose sum is σ = 97446513. Its totient is φ = 97426770.

The previous prime is 97436609. The next prime is 97436657. The reversal of 97436641 is 14663479.

The square root of 97436641 is 9871.

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 is not a de Polignac number, because 97436641 - 2⁵ = 97436609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97436594 and 97436603.

It is not an unprimeable number, because it can be changed into a prime (97436041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4936 + ... + 14806.

It is an arithmetic number, because the mean of its divisors is an integer number (32482171).

Almost surely, 2^97436641 is an apocalyptic number.

97436641 is the 9871-st square number.

97436641 is the 4936-th centered octagonal number.

It is an amenable number.

97436641 is a deficient number, since it is larger than the sum of its proper divisors (9872).

97436641 is an frugal number, since it uses more digits than its factorization.

97436641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19742 (or 9871 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The cubic root of 97436641 is about 460.1584850880.

It can be divided in two parts, 9743 and 6641, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 97436641 in words is "ninety-seven million, four hundred thirty-six thousand, six hundred forty-one".