97457141 has 12 divisors (see below), whose sum is σ = 107881452. Its totient is φ = 87728256.

The previous prime is 97457131. The next prime is 97457147. The reversal of 97457141 is 14175479.

It can be written as a sum of positive squares in 2 ways, for example, as 48246916 + 49210225 = 6946^2 + 7015^2 .

It is not a de Polignac number, because 97457141 - 2¹⁴ = 97440757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97457095 and 97457104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97457147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3575 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (8990121).

Almost surely, 2^97457141 is an apocalyptic number.

It is an amenable number.

97457141 is a deficient number, since it is larger than the sum of its proper divisors (10424311).

97457141 is a wasteful number, since it uses less digits than its factorization.

97457141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10877 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 97457141 is about 9872.0383406873. The cubic root of 97457141 is about 460.1907542199.

The spelling of 97457141 in words is "ninety-seven million, four hundred fifty-seven thousand, one hundred forty-one".