8742901 has 8 divisors (see below), whose sum is σ = 8901144. Its totient is φ = 8586240.

The previous prime is 8742887. The next prime is 8742917. The reversal of 8742901 is 1092478.

It can be written as a sum of positive squares in 4 ways, for example, as 1988100 + 6754801 = 1410^2 + 2599^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8742901 - 2¹⁷ = 8611829 is a prime.

It is a Duffinian number.

8742901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16521 + ... + 17041.

It is an arithmetic number, because the mean of its divisors is an integer number (1112643).

Almost surely, 2^8742901 is an apocalyptic number.

It is an amenable number.

8742901 is a deficient number, since it is larger than the sum of its proper divisors (158243).

8742901 is a wasteful number, since it uses less digits than its factorization.

8742901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 8742901 is about 2956.8396980560. The cubic root of 8742901 is about 206.0085222854.

The spelling of 8742901 in words is "eight million, seven hundred forty-two thousand, nine hundred one".