553761 has 12 divisors (see below), whose sum is σ = 861588. Its totient is φ = 340704.

The previous prime is 553759. The next prime is 553769. The reversal of 553761 is 167355.

553761 = 130² + 131² + ... + 156².

It can be written as a sum of positive squares in 2 ways, for example, as 90000 + 463761 = 300^2 + 681^2 .

It is not a de Polignac number, because 553761 - 2¹ = 553759 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

553761 is a lucky number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 553761.

It is not an unprimeable number, because it can be changed into a prime (553769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (71799).

2⁵⁵³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

553761 is a deficient number, since it is larger than the sum of its proper divisors (307827).

553761 is a wasteful number, since it uses less digits than its factorization.

553761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4749 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 553761 is about 744.1511943147. The cubic root of 553761 is about 82.1184585742.

The spelling of 553761 in words is "five hundred fifty-three thousand, seven hundred sixty-one".