42497361 has 27 divisors (see below), whose sum is σ = 64128337. Its totient is φ = 27119040.

The previous prime is 42497347. The next prime is 42497369. The reversal of 42497361 is 16379424.

The square root of 42497361 is 6519.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4601025 + 37896336 = 2145^2 + 6156^2 .

It is not a de Polignac number, because 42497361 - 2¹⁹ = 41973073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42497369) 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 26 ways as a sum of consecutive naturals, for example, 801811 + ... + 801863.

Almost surely, 2^42497361 is an apocalyptic number.

42497361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42497361 is the 6519-th square number.

42497361 is the 3260-th centered octagonal number.

It is an amenable number.

42497361 is a deficient number, since it is larger than the sum of its proper divisors (21630976).

42497361 is an equidigital number, since it uses as much as digits as its factorization.

42497361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 42497361 is about 348.9693790645.

Multiplying 42497361 by its sum of digits (36), we get a square (1529904996 = 39114²).

The spelling of 42497361 in words is "forty-two million, four hundred ninety-seven thousand, three hundred sixty-one".