553842 has 24 divisors (see below), whose sum is σ = 1242540. Its totient is φ = 178080.

The previous prime is 553837. The next prime is 553849. The reversal of 553842 is 248355.

553842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 549081 + 4761 = 741^2 + 69^2 .

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 not an unprimeable number, because it can be changed into a prime (553849) 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, 9 + ... + 1052.

2⁵⁵³⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621270).

553842 is an abundant number, since it is smaller than the sum of its proper divisors (688698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553842 is a wasteful number, since it uses less digits than its factorization.

553842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1095 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 553842 is about 744.2056167485. The cubic root of 553842 is about 82.1224622695.

The spelling of 553842 in words is "five hundred fifty-three thousand, eight hundred forty-two".