57289761 has 25 divisors (see below), whose sum is σ = 88637461. Its totient is φ = 36876168.

The previous prime is 57289759. The next prime is 57289763. The reversal of 57289761 is 16798275.

The square root of 57289761 is 7569.

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

57289761 is a `hidden beast` number, since 572 + 8 + 9 + 76 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (57289759) and next prime (57289763).

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 57153600 = 369^2 + 7560^2 .

It is not a de Polignac number, because 57289761 - 2¹ = 57289759 is a prime.

It is a Duffinian number.

Its product of digits (211680) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (57289763) 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 24 ways as a sum of consecutive naturals, for example, 1975495 + ... + 1975523.

Almost surely, 2^57289761 is an apocalyptic number.

57289761 is the 7569-th square number.

57289761 is the 3785-th centered octagonal number.

It is an amenable number.

57289761 is a deficient number, since it is larger than the sum of its proper divisors (31347700).

57289761 is an frugal number, since it uses more digits than its factorization.

57289761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 32 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The cubic root of 57289761 is about 385.5011430873.

The spelling of 57289761 in words is "fifty-seven million, two hundred eighty-nine thousand, seven hundred sixty-one".